30977683968 has 960 divisors, whose sum is σ = 116077142016. Its totient is φ = 7225344000.

The previous prime is 30977683967. The next prime is 30977683991. The reversal of 30977683968 is 86938677903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 30977683899 and 30977683908.

It is not an unprimeable number, because it can be changed into a prime (30977683967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436305373 + ... + 436305443.

Almost surely, 2^30977683968 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 30977683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58038571008).

30977683968 is an abundant number, since it is smaller than the sum of its proper divisors (85099458048).

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

30977683968 is a wasteful number, since it uses less digits than its factorization.

30977683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 30977683968 in words is "thirty billion, nine hundred seventy-seven million, six hundred eighty-three thousand, nine hundred sixty-eight".