309327988402368 has 672 divisors, whose sum is σ = 1041510538199040. Its totient is φ = 86987566448640.

The previous prime is 309327988402361. The next prime is 309327988402393. The reversal of 309327988402368 is 863204889723903.

It is a happy number.

309327988402368 is a `hidden beast` number, since 3 + 0 + 9 + 3 + 279 + 88 + 40 + 236 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 309327988402296 and 309327988402305.

It is not an unprimeable number, because it can be changed into a prime (309327988402361) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 421409880 + ... + 422143272.

It is an arithmetic number, because the mean of its divisors is an integer number (1549866872320).

Almost surely, 2^{309327988402368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309327988402368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520755269099520).

309327988402368 is an abundant number, since it is smaller than the sum of its proper divisors (732182549796672).

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

309327988402368 is a wasteful number, since it uses less digits than its factorization.

309327988402368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733557 (or 733544 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 309327988402368 in words is "three hundred nine trillion, three hundred twenty-seven billion, nine hundred eighty-eight million, four hundred two thousand, three hundred sixty-eight".