496690627675536 has 640 divisors, whose sum is σ = 1653297416478720. Its totient is φ = 139842920448000.

The previous prime is 496690627675513. The next prime is 496690627675547. The reversal of 496690627675536 is 635576726096694.

496690627675536 is a `hidden beast` number, since 4 + 9 + 6 + 6 + 9 + 0 + 6 + 2 + 7 + 6 + 75 + 536 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158333000560 + ... + 158333003696.

It is an arithmetic number, because the mean of its divisors is an integer number (2583277213248).

Almost surely, 2^{496690627675536} 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 496690627675536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826648708239360).

496690627675536 is an abundant number, since it is smaller than the sum of its proper divisors (1156606788803184).

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

496690627675536 is a wasteful number, since it uses less digits than its factorization.

496690627675536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 18517766400, while the sum is 81.

The spelling of 496690627675536 in words is "four hundred ninety-six trillion, six hundred ninety billion, six hundred twenty-seven million, six hundred seventy-five thousand, five hundred thirty-six".