512705000664 has 96 divisors (see below), whose sum is σ = 1451902233600. Its totient is φ = 163137965760.

The previous prime is 512705000603. The next prime is 512705000693. The reversal of 512705000664 is 466000507215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497817 + ... + 1128375.

It is an arithmetic number, because the mean of its divisors is an integer number (15123981600).

Almost surely, 2^512705000664 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 512705000664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725951116800).

512705000664 is an abundant number, since it is smaller than the sum of its proper divisors (939197232936).

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

512705000664 is a wasteful number, since it uses less digits than its factorization.

512705000664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631085 (or 631078 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 512705000664 its reverse (466000507215), we get a palindrome (978705507879).

The spelling of 512705000664 in words is "five hundred twelve billion, seven hundred five million, six hundred sixty-four", and thus it is an aban number.