668256512 has 216 divisors, whose sum is σ = 1761600960. Its totient is φ = 249876480.

The previous prime is 668256503. The next prime is 668256529. The reversal of 668256512 is 215652866.

It is a super-2 number, since 2×668256512² = 893133531660812288, which contains 22 as substring.

Its product of digits (172800) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 668256512.

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, 4001453 + ... + 4001619.

It is an arithmetic number, because the mean of its divisors is an integer number (8155560).

Almost surely, 2^668256512 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 668256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880800480).

668256512 is an abundant number, since it is smaller than the sum of its proper divisors (1093344448).

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

668256512 is a wasteful number, since it uses less digits than its factorization.

668256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its digits is 172800, while the sum is 41.

The square root of 668256512 is about 25850.6578639693. The cubic root of 668256512 is about 874.2743423618.

It can be divided in two parts, 66825 and 6512, that added together give a palindrome (73337).

The spelling of 668256512 in words is "six hundred sixty-eight million, two hundred fifty-six thousand, five hundred twelve".