315869984640 has 1024 divisors, whose sum is σ = 1311046963200. Its totient is φ = 71269466112.

The previous prime is 315869984621. The next prime is 315869984657. The reversal of 315869984640 is 46489968513.

315869984640 is a `hidden beast` number, since 3 + 1 + 5 + 86 + 9 + 98 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1009169124 + ... + 1009169436.

It is an arithmetic number, because the mean of its divisors is an integer number (1280319300).

Almost surely, 2^315869984640 is an apocalyptic number.

315869984640 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 315869984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655523481600).

315869984640 is an abundant number, since it is smaller than the sum of its proper divisors (995176978560).

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

315869984640 is an equidigital number, since it uses as much as digits as its factorization.

315869984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 315869984640 in words is "three hundred fifteen billion, eight hundred sixty-nine million, nine hundred eighty-four thousand, six hundred forty".