An electric drive device has a planetary gear set, which includes has a first sun gear, a first planet carrier and a first ring gear. The drive device also includes a planetary gear set with a second sun gear that is or can be non-rotatably coupled to the first ring gear, a second planet carrier and a second ring gear that is or can be non-rotatably coupled to the first planet carrier. An electric motor has a rotor with an input shaft driveable by the rotor and permanently non-rotatably connected to the first sun gear. The drive device also includes an output shaft, a differential gear, a first switching element, and a second switching element. The planetary gear sets are arranged coaxially to the differential gear and the differential gear has a ball-shaped differential having a differential housing.