6636084940800 has 1872 divisors, whose sum is σ = 28520406720000. Its totient is φ = 1442756689920.

The previous prime is 6636084940789. The next prime is 6636084940847. The reversal of 6636084940800 is 80494806366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14779698976 + ... + 14779699424.

It is an arithmetic number, because the mean of its divisors is an integer number (15235260000).

Almost surely, 2^{6636084940800} is an apocalyptic number.

6636084940800 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 6636084940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14260203360000).

6636084940800 is an abundant number, since it is smaller than the sum of its proper divisors (21884321779200).

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

6636084940800 is a wasteful number, since it uses less digits than its factorization.

6636084940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 6636084940800 in words is "six trillion, six hundred thirty-six billion, eighty-four million, nine hundred forty thousand, eight hundred".