668584368000 has 768 divisors, whose sum is σ = 2502130176000. Its totient is φ = 177421363200.

The previous prime is 668584367981. The next prime is 668584368017. The reversal of 668584368000 is 863485866.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1395791761 + ... + 1395792239.

It is an arithmetic number, because the mean of its divisors is an integer number (3257982000).

Almost surely, 2^668584368000 is an apocalyptic number.

668584368000 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 668584368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251065088000).

668584368000 is an abundant number, since it is smaller than the sum of its proper divisors (1833545808000).

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

668584368000 is an equidigital number, since it uses as much as digits as its factorization.

668584368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 668584368000 in words is "six hundred sixty-eight billion, five hundred eighty-four million, three hundred sixty-eight thousand".