30745872000 has 256 divisors, whose sum is σ = 113248886400. Its totient is φ = 8198784000.

The previous prime is 30745871971. The next prime is 30745872043. The reversal of 30745872000 is 27854703.

30745872000 is a `hidden beast` number, since 3 + 0 + 74 + 587 + 2 + 0 + 0 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 396415 + ... + 467585.

Almost surely, 2^30745872000 is an apocalyptic number.

30745872000 is a gapful number since it is divisible by the number (30) 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 30745872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56624443200).

30745872000 is an abundant number, since it is smaller than the sum of its proper divisors (82503014400).

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

30745872000 is an equidigital number, since it uses as much as digits as its factorization.

30745872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71209 (or 71181 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 30745872000 in words is "thirty billion, seven hundred forty-five million, eight hundred seventy-two thousand".