30972336768 has 384 divisors, whose sum is σ = 95901624000. Its totient is φ = 9943326720.

The previous prime is 30972336749. The next prime is 30972336803. The reversal of 30972336768 is 86763327903.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 190014255 + ... + 190014417.

Almost surely, 2^30972336768 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 30972336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47950812000).

30972336768 is an abundant number, since it is smaller than the sum of its proper divisors (64929287232).

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

30972336768 is a wasteful number, since it uses less digits than its factorization.

30972336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 30972336768 in words is "thirty billion, nine hundred seventy-two million, three hundred thirty-six thousand, seven hundred sixty-eight".