668110089024000 has 7200 divisors, whose sum is σ = 3243919486579200. Its totient is φ = 135878993510400.

The previous prime is 668110089023957. The next prime is 668110089024011. The reversal of 668110089024000 is 420980011866.

668110089024000 is a `hidden beast` number, since 6 + 68 + 1 + 100 + 89 + 0 + 2 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 719 ways as a sum of consecutive naturals, for example, 1394801855761 + ... + 1394801856239.

It is an arithmetic number, because the mean of its divisors is an integer number (450544373136).

Almost surely, 2^{668110089024000} is an apocalyptic number.

668110089024000 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 668110089024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621959743289600).

668110089024000 is an abundant number, since it is smaller than the sum of its proper divisors (2575809397555200).

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

668110089024000 is a wasteful number, since it uses less digits than its factorization.

668110089024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 668110089024000 in words is "six hundred sixty-eight trillion, one hundred ten billion, eighty-nine million, twenty-four thousand".