30407264688 has 160 divisors (see below), whose sum is σ = 83468943360. Its totient is φ = 9511983360.

The previous prime is 30407264677. The next prime is 30407264753. The reversal of 30407264688 is 88646270403.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79392145 + ... + 79392527.

It is an arithmetic number, because the mean of its divisors is an integer number (521680896).

Almost surely, 2^30407264688 is an apocalyptic number.

30407264688 is a gapful number since it is divisible by the number (38) 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 30407264688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41734471680).

30407264688 is an abundant number, since it is smaller than the sum of its proper divisors (53061678672).

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

30407264688 is a wasteful number, since it uses less digits than its factorization.

30407264688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 30407264688 in words is "thirty billion, four hundred seven million, two hundred sixty-four thousand, six hundred eighty-eight".