30390132768 has 144 divisors (see below), whose sum is σ = 84721079520. Its totient is φ = 9512100864.

The previous prime is 30390132767. The next prime is 30390132779. The reversal of 30390132768 is 86723109303.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30390132767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29418780 + ... + 29419812.

It is an arithmetic number, because the mean of its divisors is an integer number (588340830).

Almost surely, 2^30390132768 is an apocalyptic number.

30390132768 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 30390132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42360539760).

30390132768 is an abundant number, since it is smaller than the sum of its proper divisors (54330946752).

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

30390132768 is a wasteful number, since it uses less digits than its factorization.

30390132768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 30390132768 in words is "thirty billion, three hundred ninety million, one hundred thirty-two thousand, seven hundred sixty-eight".