With about 2.3 children per household worldwide, he has to visit roughly 300 million households.
Spreading those households evenly across 69 million square kilometres of habitable land area on Earth (taking oceans, deserts, Antarctica and mountains into account), Father Christmas has to travel 144 million kilometres on Christmas Eve. That’s nearly the same as the distance from Earth to the Sun.
Your distance number is way too high because it assumes population is maximally spread out, when in fact people cluster in cities, and people who celebrate Christmas are clustered into certain countries.