Abstract: An apparatus for multiply bundling stacks of cut reams which is comprised of multiple band stock wrapping devices, placed side by side, a move away device for individualizing the rows of cut stacks towards the band stock wrapping devices, and an upstream feeder pusher device. All devices are located on an alignment table for receiving a ream of cuts to be individualized and wrapped with band stock, with each ream of cuts consisting of multiple rows and stacks of cuts, where the depths and number of rows in each ream of cuts is variable.