30320968800 has 144 divisors (see below), whose sum is σ = 104500467792. Its totient is φ = 7609958400.

The previous prime is 30320968771. The next prime is 30320968823. The reversal of 30320968800 is 886902303.

It is a super-2 number, since 2×30320968800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330781 + ... + 412380.

It is an arithmetic number, because the mean of its divisors is an integer number (725697693).

Almost surely, 2^30320968800 is an apocalyptic number.

30320968800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30320968800 is an abundant number, since it is smaller than the sum of its proper divisors (74179498992).

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

30320968800 is a wasteful number, since it uses less digits than its factorization.

30320968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743201 (or 743188 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 30320968800 in words is "thirty billion, three hundred twenty million, nine hundred sixty-eight thousand, eight hundred".