492969590784 has 1088 divisors, whose sum is σ = 1771660492800. Its totient is φ = 133772083200.

The previous prime is 492969590779. The next prime is 492969590819. The reversal of 492969590784 is 487095969294.

492969590784 is a `hidden beast` number, since 4 + 9 + 29 + 6 + 9 + 590 + 7 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11464409067 + ... + 11464409109.

Almost surely, 2^492969590784 is an apocalyptic number.

492969590784 is a gapful number since it is divisible by the number (44) 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 492969590784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885830246400).

492969590784 is an abundant number, since it is smaller than the sum of its proper divisors (1278690902016).

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

492969590784 is a wasteful number, since it uses less digits than its factorization.

492969590784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 492969590784 in words is "four hundred ninety-two billion, nine hundred sixty-nine million, five hundred ninety thousand, seven hundred eighty-four".