Currency processing systems, coin processing machines, and methods of sorting batches of coins are presented herein. A currency processing system is disclosed which includes a housing with a coin input area for receiving coins, and one or more coin receptacles stowed inside the housing. A disk-type coin processing unit is operatively coupled to the coin input area and the coin receptacle(s). The coin processing unit includes a rotatable disk for imparting motion to coins received from the coin input area, and a sorting head having a lower surface generally parallel to and at least partially spaced from the rotatable disk. The lower surface forms a plurality of shaped regions for guiding the coins, under the motion imparted by the rotatable disk, to a plurality of exit stations through which the coins are discharged to the coin receptacle(s). The sorting head and the rotatable disk are obliquely angled with respect to the support surface upon which the housing rests.