30468556800 has 432 divisors, whose sum is σ = 119058161040. Its totient is φ = 7385088000.

The previous prime is 30468556777. The next prime is 30468556817. The reversal of 30468556800 is 865586403.

30468556800 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 85 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5065795 + ... + 5071805.

It is an arithmetic number, because the mean of its divisors is an integer number (275597595).

Almost surely, 2^30468556800 is an apocalyptic number.

30468556800 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 30468556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59529080520).

30468556800 is an abundant number, since it is smaller than the sum of its proper divisors (88589604240).

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

30468556800 is a wasteful number, since it uses less digits than its factorization.

30468556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 30468556800 in words is "thirty billion, four hundred sixty-eight million, five hundred fifty-six thousand, eight hundred".