Hybrid drive system for a motor vehicle, and a motor vehicle, in particular a motor car

A hybrid drive system for a motor vehicle, the hybrid drive system comprising:

• an internal combustion engine having a drive shaft via which first drive torques are suppliable by the internal combustion engine to drive the motor vehicle;
• an electric machine having a rotor via which second drive torques are suppliable by the electric machine to drive the motor vehicle;
• an axle drive having an axle drive input gear via which the axle drive is drivable;
• a gearbox having a first partial gearbox and a second partial gearbox, wherein
• the first partial gearbox has a first planetary gear set, which has a first element, a second element, and a third element,
• the first partial gearbox has a second planetary gear set having a fourth element and a fifth element connected permanently in a rotationally fixed manner to the first element and a sixth element,
• the second partial gearbox has a first spur gear stage, a second spur gear stage, and an output drive shaft,
• the first spur gear stage has a first output gear wheel, which is arranged coaxially to the output drive shaft and meshes with a first input gear wheel that is connect or is connectable in a rotationally fixed manner to the third element,
• the second spur gear stage has a second output gear wheel, which is arranged coaxially to the output drive shaft and meshes with a second input gear wheel that is connected or is connectable in a rotationally fixed manner to the sixth element, and
• the rotor of the electric machine is coupled or couplable to the fourth element in such a way that the respective second drive torque, supplied by the electric machine via the rotor, is introducible at the fourth element into the gearbox;
• an output drive gear wheel connected permanently in a rotationally fixed manner to the output drive shaft and meshing permanently with the axle drive input gear of the axle drive;
• a first switching element configured to connect the drive shaft of the internal combustion engine in a rotationally fixed manner to the second element;
• and
• a second switching element configured to connect the second element in a rotationally fixed manner to the sixth element,
• wherein the second spur gear stage is arranged on a side of the first partial gearbox facing away from the first spur gear stage when viewed in an axial direction,
• wherein the sixth switching element is configured to connect the second input gear wheel in a rotationally fixed manner to the fifth element.