30900070656 has 432 divisors, whose sum is σ = 110245314816. Its totient is φ = 8105508864.

The previous prime is 30900070603. The next prime is 30900070693. The reversal of 30900070656 is 65607000903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30900070656.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61431301 + ... + 61431803.

It is an arithmetic number, because the mean of its divisors is an integer number (255197488).

Almost surely, 2^30900070656 is an apocalyptic number.

30900070656 is a gapful number since it is divisible by the number (36) 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 30900070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55122657408).

30900070656 is an abundant number, since it is smaller than the sum of its proper divisors (79345244160).

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

30900070656 is a wasteful number, since it uses less digits than its factorization.

30900070656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 30900070656 in words is "thirty billion, nine hundred million, seventy thousand, six hundred fifty-six".