Angular momentum is a vector quantity. It’s the product of mass and velocity, so it measures both how much stuff moving that has a given velocity (momentum) and in what direction. If a ball were spinning very quickly on its axis, then it would have angular momentum about its center that could be measured in Newton-seconds.
An angular unit is an arbitrary unit, which specifies the magnitude of angular displacement as well as spatial displacement from some origin point to a specified area or volume within it (for example, angular units may specify the angle between straight lines drawn from two points to determine length). So I suppose you could say that one eye bulging out is worth 1/6 of an eye bulging out.