30975712768 has 320 divisors, whose sum is σ = 87499399680. Its totient is φ = 10550476800.

The previous prime is 30975712739. The next prime is 30975712777. The reversal of 30975712768 is 86721757903.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9736138 + ... + 9739318.

It is an arithmetic number, because the mean of its divisors is an integer number (273435624).

Almost surely, 2^30975712768 is an apocalyptic number.

30975712768 is a gapful number since it is divisible by the number (38) 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 30975712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43749699840).

30975712768 is an abundant number, since it is smaller than the sum of its proper divisors (56523686912).

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

30975712768 is a wasteful number, since it uses less digits than its factorization.

30975712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 30975712768 in words is "thirty billion, nine hundred seventy-five million, seven hundred twelve thousand, seven hundred sixty-eight".