A rotationally driven multi-bevel step tool comprises a plurality of single- or multi-edged cutting steps arranged in a staggered manner in a cutting and feeding direction, a number of flutes in each step corresponding to the number of cutting edges in each corresponding step, at least one web, and at least one swarf window. Flutes which are adjacent in the circumferential direction in each step are delimited from one another by at least one of the at least one web. The flutes which are adjacent in the circumferential direction, of two successive cutting steps, are connected to one another by at least one of the at least one swarf window, the at least one of the at least one swarf window penetrating the web located therebetween and being open on the circumferential side.