30720916800 has 252 divisors, whose sum is σ = 124788285856. Its totient is φ = 7021900800.

The previous prime is 30720916777. The next prime is 30720916817. The reversal of 30720916800 is 861902703.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51586 + ... + 253185.

Almost surely, 2^30720916800 is an apocalyptic number.

30720916800 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 30720916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62394142928).

30720916800 is an abundant number, since it is smaller than the sum of its proper divisors (94067369056).

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

30720916800 is a wasteful number, since it uses less digits than its factorization.

30720916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304806 (or 304788 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 30720916800 in words is "thirty billion, seven hundred twenty million, nine hundred sixteen thousand, eight hundred".