315320765760 has 1344 divisors, whose sum is σ = 1510515062784. Its totient is φ = 60466176000.

The previous prime is 315320765717. The next prime is 315320765777. The reversal of 315320765760 is 67567023513.

315320765760 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 2 + 0 + 76 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 77835735 + ... + 77839785.

It is an arithmetic number, because the mean of its divisors is an integer number (1123895136).

Almost surely, 2^315320765760 is an apocalyptic number.

315320765760 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 315320765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755257531392).

315320765760 is an abundant number, since it is smaller than the sum of its proper divisors (1195194297024).

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

315320765760 is a wasteful number, since it uses less digits than its factorization.

315320765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 315320765760 in words is "three hundred fifteen billion, three hundred twenty million, seven hundred sixty-five thousand, seven hundred sixty".