Yeah, my GE Tidy canister vac is about as big. A bit older. It has a shoulder strap to carry it around. That's the whole reason I bought it, because it's cute and tiny.
I would fill that crack with silicone. Though it doesn't seem to go all the way into the port, or down the front. It might be inconsequential. Silicone, though, because it would be a mostly temporary fix, easily removed in the future, but semi-permanent until then.