6665768899200 has 960 divisors, whose sum is σ = 25632252645120. Its totient is φ = 1703902003200.

The previous prime is 6665768899199. The next prime is 6665768899267. The reversal of 6665768899200 is 29988675666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 859762524 + ... + 859770276.

It is an arithmetic number, because the mean of its divisors is an integer number (26700263172).

Almost surely, 2^{6665768899200} is an apocalyptic number.

6665768899200 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 6665768899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816126322560).

6665768899200 is an abundant number, since it is smaller than the sum of its proper divisors (18966483745920).

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

6665768899200 is a wasteful number, since it uses less digits than its factorization.

6665768899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7901 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 6665768899200 in words is "six trillion, six hundred sixty-five billion, seven hundred sixty-eight million, eight hundred ninety-nine thousand, two hundred".