668593926000 has 4800 divisors, whose sum is σ = 3586210467840. Its totient is φ = 117573120000.

The previous prime is 668593925983. The next prime is 668593926017. The reversal of 668593926000 is 629395866.

It is an interprime number because it is at equal distance from previous prime (668593925983) and next prime (668593926017).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 21567545985 + ... + 21567546015.

Almost surely, 2^668593926000 is an apocalyptic number.

668593926000 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 668593926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793105233920).

668593926000 is an abundant number, since it is smaller than the sum of its proper divisors (2917616541840).

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

668593926000 is a wasteful number, since it uses less digits than its factorization.

668593926000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 668593926000 in words is "six hundred sixty-eight billion, five hundred ninety-three million, nine hundred twenty-six thousand".