668426673600 has 1008 divisors, whose sum is σ = 2798884984896. Its totient is φ = 148119552000.

The previous prime is 668426673587. The next prime is 668426673659. The reversal of 668426673600 is 6376624866.

668426673600 is a `hidden beast` number, since 6 + 6 + 8 + 4 + 26 + 6 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 814161190 + ... + 814162010.

It is an arithmetic number, because the mean of its divisors is an integer number (2776671612).

Almost surely, 2^668426673600 is an apocalyptic number.

668426673600 is a gapful number since it is divisible by the number (60) 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 668426673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399442492448).

668426673600 is an abundant number, since it is smaller than the sum of its proper divisors (2130458311296).

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

668426673600 is a wasteful number, since it uses less digits than its factorization.

668426673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 668426673600 in words is "six hundred sixty-eight billion, four hundred twenty-six million, six hundred seventy-three thousand, six hundred".