668314368 has 144 divisors (see below), whose sum is σ = 2040729600. Its totient is φ = 215516160.

The previous prime is 668314349. The next prime is 668314369. The reversal of 668314368 is 863413866.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (668314369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212713 + ... + 215831.

Almost surely, 2^668314368 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 668314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020364800).

668314368 is an abundant number, since it is smaller than the sum of its proper divisors (1372415232).

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

668314368 is a wasteful number, since it uses less digits than its factorization.

668314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3155 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 668314368 is about 25851.7768828373. The cubic root of 668314368 is about 874.2995724722.

The spelling of 668314368 in words is "six hundred sixty-eight million, three hundred fourteen thousand, three hundred sixty-eight".