902682412920 has 512 divisors, whose sum is σ = 3267226368000. Its totient is φ = 223721491968.

The previous prime is 902682412861. The next prime is 902682412949. The reversal of 902682412920 is 29214286209.

902682412920 is a `hidden beast` number, since 90 + 2 + 68 + 2 + 412 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88087237 + ... + 88097483.

It is an arithmetic number, because the mean of its divisors is an integer number (6381301500).

Almost surely, 2^902682412920 is an apocalyptic number.

902682412920 is a gapful number since it is divisible by the number (90) 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 902682412920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633613184000).

902682412920 is an abundant number, since it is smaller than the sum of its proper divisors (2364543955080).

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

902682412920 is a wasteful number, since it uses less digits than its factorization.

902682412920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10351 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 902682412920 in words is "nine hundred two billion, six hundred eighty-two million, four hundred twelve thousand, nine hundred twenty".