512365764764 has 96 divisors (see below), whose sum is σ = 1070989032960. Its totient is φ = 209914848000.

The previous prime is 512365764733. The next prime is 512365764769. The reversal of 512365764764 is 467467563215.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512365764769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13688627 + ... + 13726005.

It is an arithmetic number, because the mean of its divisors is an integer number (11156135760).

Almost surely, 2^512365764764 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 512365764764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535494516480).

512365764764 is an abundant number, since it is smaller than the sum of its proper divisors (558623268196).

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

512365764764 is a wasteful number, since it uses less digits than its factorization.

512365764764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37659 (or 37657 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 56.

The spelling of 512365764764 in words is "five hundred twelve billion, three hundred sixty-five million, seven hundred sixty-four thousand, seven hundred sixty-four".