315782837064 has 512 divisors, whose sum is σ = 964893081600. Its totient is φ = 96609832704.

The previous prime is 315782837047. The next prime is 315782837093. The reversal of 315782837064 is 460738287513.

It is a happy number.

315782837064 is a `hidden beast` number, since 3 + 1 + 578 + 2 + 8 + 3 + 7 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 315782837064.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1890915109 + ... + 1890915275.

It is an arithmetic number, because the mean of its divisors is an integer number (1884556800).

Almost surely, 2^315782837064 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 315782837064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482446540800).

315782837064 is an abundant number, since it is smaller than the sum of its proper divisors (649110244536).

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

315782837064 is a wasteful number, since it uses less digits than its factorization.

315782837064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 315782837064 in words is "three hundred fifteen billion, seven hundred eighty-two million, eight hundred thirty-seven thousand, sixty-four".