668385420595200 has 6552 divisors, whose sum is σ = 3227744084960448. Its totient is φ = 134405111808000.

The previous prime is 668385420595199. The next prime is 668385420595247. The reversal of 668385420595200 is 2595024583866.

668385420595200 is a `hidden beast` number, since 6 + 6 + 8 + 3 + 8 + 54 + 2 + 0 + 59 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 21560820019185 + ... + 21560820019215.

Almost surely, 2^{668385420595200} is an apocalyptic number.

668385420595200 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 668385420595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613872042480224).

668385420595200 is an abundant number, since it is smaller than the sum of its proper divisors (2559358664365248).

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

668385420595200 is an frugal number, since it uses more digits than its factorization.

668385420595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 668385420595200 in words is "six hundred sixty-eight trillion, three hundred eighty-five billion, four hundred twenty million, five hundred ninety-five thousand, two hundred".