512868593664 has 312 divisors, whose sum is σ = 1697168647200. Its totient is φ = 146179620864.

The previous prime is 512868593659. The next prime is 512868593669. The reversal of 512868593664 is 466395868215.

It is a happy number.

512868593664 is a `hidden beast` number, since 512 + 8 + 6 + 8 + 59 + 3 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (512868593659) and next prime (512868593669).

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

It is not an unprimeable number, because it can be changed into a prime (512868593669) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 117925762 + ... + 117930110.

It is an arithmetic number, because the mean of its divisors is an integer number (5439643100).

Almost surely, 2^512868593664 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 512868593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848584323600).

512868593664 is an abundant number, since it is smaller than the sum of its proper divisors (1184300053536).

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

512868593664 is a wasteful number, since it uses less digits than its factorization.

512868593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4818 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 512868593664 in words is "five hundred twelve billion, eight hundred sixty-eight million, five hundred ninety-three thousand, six hundred sixty-four".