315609164640 has 720 divisors, whose sum is σ = 1413509472144. Its totient is φ = 65579673600.

The previous prime is 315609164599. The next prime is 315609164659. The reversal of 315609164640 is 46461906513.

315609164640 is a `hidden beast` number, since 3 + 1 + 560 + 9 + 1 + 6 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 6962850 + ... + 7008030.

Almost surely, 2^315609164640 is an apocalyptic number.

315609164640 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 315609164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706754736072).

315609164640 is an abundant number, since it is smaller than the sum of its proper divisors (1097900307504).

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

315609164640 is a wasteful number, since it uses less digits than its factorization.

315609164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45233 (or 45209 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

It can be divided in two parts, 315609 and 164640, that added together give a square (480249 = 693²).

The spelling of 315609164640 in words is "three hundred fifteen billion, six hundred nine million, one hundred sixty-four thousand, six hundred forty".