511668864 has 192 divisors, whose sum is σ = 1701311040. Its totient is φ = 144580608.

The previous prime is 511668851. The next prime is 511668887. The reversal of 511668864 is 468866115.

It is a tau number, because it is divible by the number of its divisors (192).

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, 862552 + ... + 863144.

It is an arithmetic number, because the mean of its divisors is an integer number (8860995).

Almost surely, 2^511668864 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 511668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850655520).

511668864 is an abundant number, since it is smaller than the sum of its proper divisors (1189642176).

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

511668864 is a wasteful number, since it uses less digits than its factorization.

511668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 511668864 is about 22620.0986735248. The cubic root of 511668864 is about 799.8274961390.

The spelling of 511668864 in words is "five hundred eleven million, six hundred sixty-eight thousand, eight hundred sixty-four".