7666945228800 has 2280 divisors, whose sum is σ = 33699666802032. Its totient is φ = 1698693120000.

The previous prime is 7666945228793. The next prime is 7666945228849. The reversal of 7666945228800 is 88225496667.

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, 75910348750 + ... + 75910348850.

Almost surely, 2^{7666945228800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7666945228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849833401016).

7666945228800 is an abundant number, since it is smaller than the sum of its proper divisors (26032721573232).

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

7666945228800 is a wasteful number, since it uses less digits than its factorization.

7666945228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 7666945228800 in words is "seven trillion, six hundred sixty-six billion, nine hundred forty-five million, two hundred twenty-eight thousand, eight hundred".