A rechargeable battery, particularly a rechargeable tool battery, includes at least one cell block which has at least one heat dissipation element, which is provided to dissipate heat from the cell block, and a rechargeable battery housing, which has at least one heat radiation element, which is provided at least to radiate the heat dissipated by the heat dissipation element to the surroundings. It is provided that the heat dissipation element and the heat radiation element are formed as components configured separately from each other.