668174976 has 384 divisors, whose sum is σ = 2386800000. Its totient is φ = 178827264.

The previous prime is 668174963. The next prime is 668174981. The reversal of 668174976 is 679471866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7507540 + ... + 7507628.

It is an arithmetic number, because the mean of its divisors is an integer number (6215625).

Almost surely, 2^668174976 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 668174976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193400000).

668174976 is an abundant number, since it is smaller than the sum of its proper divisors (1718625024).

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

668174976 is a wasteful number, since it uses less digits than its factorization.

668174976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 668174976 is about 25849.0807573500. The cubic root of 668174976 is about 874.2387832958.

The spelling of 668174976 in words is "six hundred sixty-eight million, one hundred seventy-four thousand, nine hundred seventy-six".