309316423680 has 1560 divisors, whose sum is σ = 1290759535296. Its totient is φ = 70655016960.

The previous prime is 309316423651. The next prime is 309316423709. The reversal of 309316423680 is 86324613903.

309316423680 is a `hidden beast` number, since 309 + 31 + 6 + 4 + 236 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (309316423651) and next prime (309316423709).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4616663007 + ... + 4616663073.

Almost surely, 2^309316423680 is an apocalyptic number.

309316423680 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 309316423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645379767648).

309316423680 is an abundant number, since it is smaller than the sum of its proper divisors (981443111616).

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

309316423680 is a wasteful number, since it uses less digits than its factorization.

309316423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 309316423680 in words is "three hundred nine billion, three hundred sixteen million, four hundred twenty-three thousand, six hundred eighty".