30768561120 has 384 divisors, whose sum is σ = 112373775360. Its totient is φ = 6993838080.

The previous prime is 30768561097. The next prime is 30768561133. The reversal of 30768561120 is 2116586703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33480021 + ... + 33480939.

It is an arithmetic number, because the mean of its divisors is an integer number (292640040).

Almost surely, 2^30768561120 is an apocalyptic number.

30768561120 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 30768561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56186887680).

30768561120 is an abundant number, since it is smaller than the sum of its proper divisors (81605214240).

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

30768561120 is a wasteful number, since it uses less digits than its factorization.

30768561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 30768561120 in words is "thirty billion, seven hundred sixty-eight million, five hundred sixty-one thousand, one hundred twenty".