The fact that NORAD tracks him every year does nothing to help my suspicions. Clearly they think him a threat to international stability
So how does Mr. Kringle accomplish this superhuman feat annually? 800 years ago giving gifts to every christian child was difficult with modern technology but it has only gotten worse since then. Of the approximately 7 billion people that exist at this moment, 2.2 billion of them consider themselves Christians, I'm willing to venture that a fair number of people celebrate the holiday otherwise. North America, South America, Europe, Australia, Sub-Saharan Africa and parts of Asia are predominantly Christian and so most of the population likely celebrates the holiday regardless of religious affiliation. So we'll say an even 3 billion celebrate Christmas. According to the CIA, 26.3% of the world is under 14, and are thus children applicable for him to give gifts to. That's 789 million kids out there. With an average population density of 13.3 people per sq. km (that's 34.5/ sq. mi). Doing the math that's 58 million sq. km (or 22 million sq mi) to cover in a single 24 hr period (which is being charitable). For perspective the entire Earth is about 510 million sq km (197 million sq. mi)
Now clearly Santa can't do this, at least not without destroying 2/3's of the landmass. So how does Father Christmas do it? Well, perhaps we're wrong in thinking about time linearly. If Santa were able to bend time and space it would make the whole thing a different possibility.If he were able to say... make space bend he would also be able to store that many toys in a bag and on his sleigh.
What's interesting is that Santa has taken on many different appearances over the years. He's taken on many different names: Kris Kringle, Father Christmas, Tomte, St. Nick, Sinterklauss, Belsnickel and many many others.
So the man has many different bodies, is practically immortal, can bend space and time, and has a sleigh that can clearly hold more than its dimensions should indicate.