82992000904704 has 480 divisors, whose sum is σ = 253036349280000. Its totient is φ = 26113648361472.

The previous prime is 82992000904693. The next prime is 82992000904781. The reversal of 82992000904704 is 40740900029928.

82992000904704 is a `hidden beast` number, since 82 + 9 + 9 + 2 + 0 + 0 + 0 + 90 + 470 + 4 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 56882796327 + ... + 56882797785.

It is an arithmetic number, because the mean of its divisors is an integer number (527159061000).

Almost surely, 2^{82992000904704} 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 82992000904704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126518174640000).

82992000904704 is an abundant number, since it is smaller than the sum of its proper divisors (170044348375296).

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

82992000904704 is a wasteful number, since it uses less digits than its factorization.

82992000904704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 82992000904704 in words is "eighty-two trillion, nine hundred ninety-two billion, nine hundred four thousand, seven hundred four".