316064306880 has 1568 divisors, whose sum is σ = 1388021160960. Its totient is φ = 66915901440.

The previous prime is 316064306863. The next prime is 316064306881. The reversal of 316064306880 is 88603460613.

316064306880 is a `hidden beast` number, since 3 + 1 + 606 + 4 + 30 + 6 + 8 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (316064306881) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1892600557 + ... + 1892600723.

Almost surely, 2^316064306880 is an apocalyptic number.

316064306880 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 316064306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694010580480).

316064306880 is an abundant number, since it is smaller than the sum of its proper divisors (1071956854080).

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

316064306880 is a wasteful number, since it uses less digits than its factorization.

316064306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 316064306880 in words is "three hundred sixteen billion, sixty-four million, three hundred six thousand, eight hundred eighty".