30656498976 has 144 divisors (see below), whose sum is σ = 90516089664. Its totient is φ = 10206653184.

The previous prime is 30656498959. The next prime is 30656499019. The reversal of 30656498976 is 67989465603.

30656498976 is a `hidden beast` number, since 3 + 0 + 6 + 56 + 498 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 8497365 + ... + 8500971.

It is an arithmetic number, because the mean of its divisors is an integer number (628583956).

Almost surely, 2^30656498976 is an apocalyptic number.

30656498976 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 30656498976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45258044832).

30656498976 is an abundant number, since it is smaller than the sum of its proper divisors (59859590688).

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

30656498976 is a wasteful number, since it uses less digits than its factorization.

30656498976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 30656498976 in words is "thirty billion, six hundred fifty-six million, four hundred ninety-eight thousand, nine hundred seventy-six".