315040075776 has 156 divisors (see below), whose sum is σ = 910995713628. Its totient is φ = 104899018752.

The previous prime is 315040075751. The next prime is 315040075817. The reversal of 315040075776 is 677570040513.

315040075776 is a `hidden beast` number, since 3 + 1 + 504 + 0 + 0 + 75 + 7 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278176075776 + 36864000000 = 527424^2 + 192000^2 .

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 11 ways as a sum of consecutive naturals, for example, 38076376 + ... + 38084648.

It is an arithmetic number, because the mean of its divisors is an integer number (5839716113).

Almost surely, 2^315040075776 is an apocalyptic number.

315040075776 is a gapful number since it is divisible by the number (36) 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 315040075776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455497856814).

315040075776 is an abundant number, since it is smaller than the sum of its proper divisors (595955637852).

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

315040075776 is a wasteful number, since it uses less digits than its factorization.

315040075776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 315040075776 in words is "three hundred fifteen billion, forty million, seventy-five thousand, seven hundred seventy-six".