6668823168000 has 3168 divisors, whose sum is σ = 29924545517568. Its totient is φ = 1421328384000.

The previous prime is 6668823167999. The next prime is 6668823168041. The reversal of 6668823168000 is 8613288666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64745855949 + ... + 64745856051.

Almost surely, 2^{6668823168000} is an apocalyptic number.

6668823168000 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 6668823168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962272758784).

6668823168000 is an abundant number, since it is smaller than the sum of its proper divisors (23255722349568).

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

6668823168000 is a wasteful number, since it uses less digits than its factorization.

6668823168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 6668823168000 in words is "six trillion, six hundred sixty-eight billion, eight hundred twenty-three million, one hundred sixty-eight thousand".