668569104738000 has 960 divisors, whose sum is σ = 2437904598405120. Its totient is φ = 175143824640000.

The previous prime is 668569104737879. The next prime is 668569104738037. The reversal of 668569104738000 is 837401965866.

668569104738000 is a `hidden beast` number, since 6 + 6 + 85 + 6 + 9 + 1 + 0 + 473 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218415256470 + ... + 218415259530.

It is an arithmetic number, because the mean of its divisors is an integer number (2539483956672).

Almost surely, 2^{668569104738000} is an apocalyptic number.

668569104738000 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 668569104738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218952299202560).

668569104738000 is an abundant number, since it is smaller than the sum of its proper divisors (1769335493667120).

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

668569104738000 is a wasteful number, since it uses less digits than its factorization.

668569104738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 668569104738000 in words is "six hundred sixty-eight trillion, five hundred sixty-nine billion, one hundred four million, seven hundred thirty-eight thousand".