30932066304 has 672 divisors, whose sum is σ = 104887897920. Its totient is φ = 8719958016.

The previous prime is 30932066293. The next prime is 30932066353. The reversal of 30932066304 is 40366023903.

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

It is a congruent number.

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, 836001774 + ... + 836001810.

Almost surely, 2^30932066304 is an apocalyptic number.

30932066304 is a gapful number since it is divisible by the number (34) 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 30932066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52443948960).

30932066304 is an abundant number, since it is smaller than the sum of its proper divisors (73955831616).

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

30932066304 is a wasteful number, since it uses less digits than its factorization.

30932066304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 30932066304 in words is "thirty billion, nine hundred thirty-two million, sixty-six thousand, three hundred four".