493475373460800 has 504 divisors, whose sum is σ = 1760904598624704. Its totient is φ = 131070847057920.

The previous prime is 493475373460781. The next prime is 493475373460813. The reversal of 493475373460800 is 8064373574394.

It is a happy number.

493475373460800 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 7 + 537 + 34 + 60 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4488410629 + ... + 4488520571.

Almost surely, 2^{493475373460800} is an apocalyptic number.

493475373460800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493475373460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880452299312352).

493475373460800 is an abundant number, since it is smaller than the sum of its proper divisors (1267429225163904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

493475373460800 is a wasteful number, since it uses less digits than its factorization.

493475373460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111207 (or 111189 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 493475373460800 in words is "four hundred ninety-three trillion, four hundred seventy-five billion, three hundred seventy-three million, four hundred sixty thousand, eight hundred".