Ours are doing the same when the cloud breaks in front of the moon Possum. They respond to changes in light levels during the day and night so during the full moon period they can be going on and off all night. Sounds lovely to us. Obviously we are looking at houses with no neighbours for at least 200 metres as not many people share our enjoyment and we can't bring them all (9) into the house every night. It gets far worse when you have one within earshot of another as well as one will prompt another and so on.
Guess if it's a problem you can either bring him into a dark room, close the vents on the coop and risk respiratory infections, move him further away or, as suggested, eat him.