30072603960 has 576 divisors, whose sum is σ = 120106022400. Its totient is φ = 6380301312.

The previous prime is 30072603931. The next prime is 30072603961. The reversal of 30072603960 is 6930627003.

30072603960 is a `hidden beast` number, since 3 + 0 + 0 + 7 + 260 + 396 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30072603961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79347051 + ... + 79347429.

It is an arithmetic number, because the mean of its divisors is an integer number (208517400).

Almost surely, 2^30072603960 is an apocalyptic number.

30072603960 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 30072603960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60053011200).

30072603960 is an abundant number, since it is smaller than the sum of its proper divisors (90033418440).

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

30072603960 is a wasteful number, since it uses less digits than its factorization.

30072603960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 30072603960 in words is "thirty billion, seventy-two million, six hundred three thousand, nine hundred sixty".