668042144 has 96 divisors (see below), whose sum is σ = 1696464000. Its totient is φ = 251274240.

The previous prime is 668042129. The next prime is 668042197. The reversal of 668042144 is 441240866.

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 15 ways as a sum of consecutive naturals, for example, 66782 + ... + 76130.

It is an arithmetic number, because the mean of its divisors is an integer number (17671500).

Almost surely, 2^668042144 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 668042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848232000).

668042144 is an abundant number, since it is smaller than the sum of its proper divisors (1028421856).

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

668042144 is a wasteful number, since it uses less digits than its factorization.

668042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9406 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 668042144 is about 25846.5112539391. The cubic root of 668042144 is about 874.1808470833.

The spelling of 668042144 in words is "six hundred sixty-eight million, forty-two thousand, one hundred forty-four".