316040693760 has 1440 divisors, whose sum is σ = 1290601952640. Its totient is φ = 73866608640.

The previous prime is 316040693747. The next prime is 316040693779. The reversal of 316040693760 is 67396040613.

316040693760 is a `hidden beast` number, since 3 + 1 + 604 + 0 + 6 + 9 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×316040693760² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 4717025247 + ... + 4717025313.

It is an arithmetic number, because the mean of its divisors is an integer number (896251356).

Almost surely, 2^316040693760 is an apocalyptic number.

316040693760 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 316040693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645300976320).

316040693760 is an abundant number, since it is smaller than the sum of its proper divisors (974561258880).

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

316040693760 is a wasteful number, since it uses less digits than its factorization.

316040693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 316040693760 in words is "three hundred sixteen billion, forty million, six hundred ninety-three thousand, seven hundred sixty".