492961876992 has 704 divisors, whose sum is σ = 1639255941120. Its totient is φ = 145317888000.

The previous prime is 492961876969. The next prime is 492961876999. The reversal of 492961876992 is 299678169294.

492961876992 is a `hidden beast` number, since 492 + 9 + 61 + 8 + 76 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×492961876992² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 492961876992.

It is not an unprimeable number, because it can be changed into a prime (492961876999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682463598 + ... + 1682463890.

Almost surely, 2^492961876992 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 492961876992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819627970560).

492961876992 is an abundant number, since it is smaller than the sum of its proper divisors (1146294064128).

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

492961876992 is a wasteful number, since it uses less digits than its factorization.

492961876992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 493 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 492961876992 in words is "four hundred ninety-two billion, nine hundred sixty-one million, eight hundred seventy-six thousand, nine hundred ninety-two".