668674944 has 192 divisors, whose sum is σ = 2223542880. Its totient is φ = 188928000.

The previous prime is 668674927. The next prime is 668674949. The reversal of 668674944 is 449476866.

668674944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668674949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814054 + ... + 814874.

Almost surely, 2^668674944 is an apocalyptic number.

668674944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111771440).

668674944 is an abundant number, since it is smaller than the sum of its proper divisors (1554867936).

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

668674944 is a wasteful number, since it uses less digits than its factorization.

668674944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 668674944 is about 25858.7498537729. The cubic root of 668674944 is about 874.4567813042.

The spelling of 668674944 in words is "six hundred sixty-eight million, six hundred seventy-four thousand, nine hundred forty-four".