508472692992 has 864 divisors, whose sum is σ = 1709927331840. Its totient is φ = 143917793280.

The previous prime is 508472692979. The next prime is 508472692997. The reversal of 508472692992 is 299296274805.

508472692992 is a `hidden beast` number, since 5 + 0 + 84 + 7 + 269 + 299 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (508472692997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3658076859 + ... + 3658076997.

It is an arithmetic number, because the mean of its divisors is an integer number (1979082560).

Almost surely, 2^508472692992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508472692992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854963665920).

508472692992 is an abundant number, since it is smaller than the sum of its proper divisors (1201454638848).

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

508472692992 is a wasteful number, since it uses less digits than its factorization.

508472692992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 508472692992 in words is "five hundred eight billion, four hundred seventy-two million, six hundred ninety-two thousand, nine hundred ninety-two".