Depends on certain assumptions, such as that he truly goes to every settlement (if not every house) in the world, in all 26 times zones, and that his first stop coincides with a reasonable children's bedtime (7 pm?) and that he must finish by 7 am at the last stop.

So... Due to the mess in the central Pacific around the international date line, a calendar day -- ANY calendar day -- on the planet ends at Baker Island (USA) FIFTY hours after it began on Kiritimati (Christmas) Island. However, Baker is uninhabited, at least by civilians, so American Samoa is the last populated place in which the day expires, one hour earlier, or 49 hours after the first incidence of the date. Since Santa will travel between 7 pm in Kiritimati and 7 am in Pago Pago, he will end his journey SIXTY-TWO hours after beginning, as 7 am on 12/25 in Pago Pago is 8 am in Kiritimati -- on 12/27!

Yes, the answer (reasonably) will be 62 hours.

Note that although Wallis and Futuna and (Western) Samoa are on Summer Time clocks at this time of year, this has no effect on the beginning and end times in Kiritimati or American Samoa.