668029968 has 120 divisors (see below), whose sum is σ = 2021448000. Its totient is φ = 205224192.

The previous prime is 668029951. The next prime is 668029991. The reversal of 668029968 is 869920866.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 97933 + ... + 104531.

It is an arithmetic number, because the mean of its divisors is an integer number (16845400).

Almost surely, 2^668029968 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 668029968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010724000).

668029968 is an abundant number, since it is smaller than the sum of its proper divisors (1353418032).

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

668029968 is a wasteful number, since it uses less digits than its factorization.

668029968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6669 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 668029968 is about 25846.2757085039. The cubic root of 668029968 is about 874.1755359959.

The spelling of 668029968 in words is "six hundred sixty-eight million, twenty-nine thousand, nine hundred sixty-eight".