668043224064 has 352 divisors, whose sum is σ = 2120309456640. Its totient is φ = 207235252224.

The previous prime is 668043223891. The next prime is 668043224071. The reversal of 668043224064 is 460422340866.

668043224064 is a `hidden beast` number, since 66 + 80 + 432 + 24 + 0 + 64 = 666.

It is a hoax number, since the sum of its digits (45) 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 31 ways as a sum of consecutive naturals, for example, 23514252 + ... + 23542644.

Almost surely, 2^668043224064 is an apocalyptic number.

668043224064 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 668043224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060154728320).

668043224064 is an abundant number, since it is smaller than the sum of its proper divisors (1452266232576).

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

668043224064 is a wasteful number, since it uses less digits than its factorization.

668043224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28482 (or 28458 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 668043224064 in words is "six hundred sixty-eight billion, forty-three million, two hundred twenty-four thousand, sixty-four".