315764137728 has 432 divisors, whose sum is σ = 1020050400096. Its totient is φ = 96845414400.

The previous prime is 315764137699. The next prime is 315764137751. The reversal of 315764137728 is 827731467513.

315764137728 is a `hidden beast` number, since 3 + 1 + 576 + 41 + 3 + 7 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450447778 + ... + 450448478.

It is an arithmetic number, because the mean of its divisors is an integer number (2361227778).

Almost surely, 2^315764137728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315764137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510025200048).

315764137728 is an abundant number, since it is smaller than the sum of its proper divisors (704286262368).

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

315764137728 is an equidigital number, since it uses as much as digits as its factorization.

315764137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1276 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 315764137728 in words is "three hundred fifteen billion, seven hundred sixty-four million, one hundred thirty-seven thousand, seven hundred twenty-eight".