6668454967200 has 1152 divisors, whose sum is σ = 26257506912000. Its totient is φ = 1623596728320.

The previous prime is 6668454967193. The next prime is 6668454967241. The reversal of 6668454967200 is 27694548666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14851792576 + ... + 14851793024.

It is an arithmetic number, because the mean of its divisors is an integer number (22792974750).

Almost surely, 2^{6668454967200} is an apocalyptic number.

6668454967200 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 6668454967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13128753456000).

6668454967200 is an abundant number, since it is smaller than the sum of its proper divisors (19589051944800).

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

6668454967200 is a wasteful number, since it uses less digits than its factorization.

6668454967200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 6668454967200 in words is "six trillion, six hundred sixty-eight billion, four hundred fifty-four million, nine hundred sixty-seven thousand, two hundred".