30628604160 has 1296 divisors, whose sum is σ = 138083417472. Its totient is φ = 6131220480.

The previous prime is 30628604147. The next prime is 30628604179. The reversal of 30628604160 is 6140682603.

30628604160 is a `hidden beast` number, since 30 + 6 + 2 + 8 + 604 + 16 + 0 = 666.

It is a super-2 number, since 2×30628604160² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 419569884 + ... + 419569956.

Almost surely, 2^30628604160 is an apocalyptic number.

30628604160 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 30628604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69041708736).

30628604160 is an abundant number, since it is smaller than the sum of its proper divisors (107454813312).

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

30628604160 is a wasteful number, since it uses less digits than its factorization.

30628604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30628604160 in words is "thirty billion, six hundred twenty-eight million, six hundred four thousand, one hundred sixty".