Not that surprising that 10! works out to be seconds in 6 weeks.
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Lots of shared terms:
60 = 5 * 4 * 3 * 1
3600 = 10 * 6 * 5 * 4 * 3
24 = 4 * 3 * 2
The Mayans used 60 seconds for a good reason - easily divisible.
Another interesting coincidence I like is e^pi - pi = ~20, to 3 dp.