30730816972800 has 2304 divisors, whose sum is σ = 132981488640000. Its totient is φ = 6811228569600.

The previous prime is 30730816972789. The next prime is 30730816972813. The reversal of 30730816972800 is 827961803703.

30730816972800 is a `hidden beast` number, since 30 + 7 + 308 + 169 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×30730816972800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46632498871 + ... + 46632499529.

It is an arithmetic number, because the mean of its divisors is an integer number (57717660000).

Almost surely, 2^{30730816972800} is an apocalyptic number.

30730816972800 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 30730816972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66490744320000).

30730816972800 is an abundant number, since it is smaller than the sum of its proper divisors (102250671667200).

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

30730816972800 is a wasteful number, since it uses less digits than its factorization.

30730816972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 30730816972800 in words is "thirty trillion, seven hundred thirty billion, eight hundred sixteen million, nine hundred seventy-two thousand, eight hundred".