316680399360 has 1280 divisors, whose sum is σ = 1296542016000. Its totient is φ = 73526870016.

The previous prime is 316680399349. The next prime is 316680399401. The reversal of 316680399360 is 63993086613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 316680399297 and 316680399306.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1382883726 + ... + 1382883954.

It is an arithmetic number, because the mean of its divisors is an integer number (1012923450).

Almost surely, 2^316680399360 is an apocalyptic number.

316680399360 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 316680399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648271008000).

316680399360 is an abundant number, since it is smaller than the sum of its proper divisors (979861616640).

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

316680399360 is an equidigital number, since it uses as much as digits as its factorization.

316680399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 316680399360 in words is "three hundred sixteen billion, six hundred eighty million, three hundred ninety-nine thousand, three hundred sixty".