Proposed is an emergency stop device (40) for a bale wrapping device (12), having at least one actuating arm (42) which is intended to be assignable to at least one wrapping arm (36) of the bale wrapping device (12) in a manner running ahead and which, upon contact with an obstacle, can activate and/or deactivate at least one function of the bale wrapping device (12), in particular a drive of the wrapping arm (36), wherein the position of the actuating arm (42) is configured to be variable with respect to the wrapping arm (36). Also proposed is a bale wrapping device (12) for enveloping a preferably round cylindrical bale (34) with an enveloping material (38), having a frame (14) and at least one wrapping arm (36) attached to the frame (14) in a pivotable manner such that it is preferably able to run at least regionally around a bale (34) to be wrapped, and a harvesting appliance (10).