6668009856000 has 1408 divisors, whose sum is σ = 25934867712000. Its totient is φ = 1686410035200.

The previous prime is 6668009855893. The next prime is 6668009856007. The reversal of 6668009856000 is 6589008666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6668009856007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11843711719 + ... + 11843712281.

Almost surely, 2^{6668009856000} is an apocalyptic number.

6668009856000 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 6668009856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12967433856000).

6668009856000 is an abundant number, since it is smaller than the sum of its proper divisors (19266857856000).

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

6668009856000 is a wasteful number, since it uses less digits than its factorization.

6668009856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 6668009856000 in words is "six trillion, six hundred sixty-eight billion, nine million, eight hundred fifty-six thousand".