30745760800 has 72 divisors (see below), whose sum is σ = 75746909700. Its totient is φ = 12185441280.

The previous prime is 30745760797. The next prime is 30745760831. The reversal of 30745760800 is 806754703.

It can be written as a sum of positive squares in 6 ways, for example, as 22443635344 + 8302125456 = 149812^2 + 91116^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 89095 + ... + 263494.

Almost surely, 2^30745760800 is an apocalyptic number.

It is an amenable number.

30745760800 is an abundant number, since it is smaller than the sum of its proper divisors (45001148900).

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

30745760800 is a wasteful number, since it uses less digits than its factorization.

30745760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352718 (or 352705 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 30745760800 in words is "thirty billion, seven hundred forty-five million, seven hundred sixty thousand, eight hundred".