A clutch device for arrangement in a drive train of a motor vehicle between a drive unit and a gearbox, which comprises a clutch for optional torque transmission between the drive unit and the gearbox, a clutch input side to which a torque from the drive unit can be transmitted, and an electric machine allocated to the clutch input side, wherein an overrun to transmit the torque from the drive unit in only one rotational direction is arranged upstream of the clutch input side in relation to the torque transmission path.