316261632960 has 2016 divisors, whose sum is σ = 1444905326592. Its totient is φ = 62845009920.

The previous prime is 316261632959. The next prime is 316261632961. The reversal of 316261632960 is 69236162613.

316261632960 is a `hidden beast` number, since 3 + 1 + 6 + 2 + 6 + 1 + 632 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (316261632959) and next prime (316261632961).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316261632961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3810381079 + ... + 3810381161.

It is an arithmetic number, because the mean of its divisors is an integer number (716718912).

Almost surely, 2^316261632960 is an apocalyptic number.

316261632960 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 316261632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722452663296).

316261632960 is an abundant number, since it is smaller than the sum of its proper divisors (1128643693632).

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

316261632960 is a wasteful number, since it uses less digits than its factorization.

316261632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 316261632960 in words is "three hundred sixteen billion, two hundred sixty-one million, six hundred thirty-two thousand, nine hundred sixty".