316008967680 has 1600 divisors, whose sum is σ = 1361525856768. Its totient is φ = 68558192640.

The previous prime is 316008967667. The next prime is 316008967721. The reversal of 316008967680 is 86769800613.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3807336919 + ... + 3807337001.

Almost surely, 2^316008967680 is an apocalyptic number.

316008967680 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 316008967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680762928384).

316008967680 is an abundant number, since it is smaller than the sum of its proper divisors (1045516889088).

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

316008967680 is an equidigital number, since it uses as much as digits as its factorization.

316008967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 316008967680 in words is "three hundred sixteen billion, eight million, nine hundred sixty-seven thousand, six hundred eighty".