509632113664 has 88 divisors (see below), whose sum is σ = 1027716001200. Its totient is φ = 252586573824.

The previous prime is 509632113649. The next prime is 509632113677. The reversal of 509632113664 is 466311236905.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61821927 + ... + 61830169.

Almost surely, 2^509632113664 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 509632113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513858000600).

509632113664 is an abundant number, since it is smaller than the sum of its proper divisors (518083887536).

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

509632113664 is a wasteful number, since it uses less digits than its factorization.

509632113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785 (or 8767 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 509632113664 in words is "five hundred nine billion, six hundred thirty-two million, one hundred thirteen thousand, six hundred sixty-four".