6444848800 has 216 divisors, whose sum is σ = 17296682004. Its totient is φ = 2343444480.

The previous prime is 6444848797. The next prime is 6444848827. The reversal of 6444848800 is 88484446.

It can be written as a sum of positive squares in 18 ways, for example, as 2295943056 + 4148905744 = 47916^2 + 64412^2 .

It is a super-2 number, since 2×6444848800² = 83072152109722880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9869274 + ... + 9869926.

Almost surely, 2^6444848800 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 6444848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648341002).

6444848800 is an abundant number, since it is smaller than the sum of its proper divisors (10851833204).

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

6444848800 is a wasteful number, since it uses less digits than its factorization.

6444848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 46.

The square root of 6444848800 is about 80279.8156450300. The cubic root of 6444848800 is about 1860.9623108446.

The spelling of 6444848800 in words is "six billion, four hundred forty-four million, eight hundred forty-eight thousand, eight hundred".