6444718128 has 120 divisors (see below), whose sum is σ = 19338675440. Its totient is φ = 2054764800.

The previous prime is 6444718087. The next prime is 6444718153. The reversal of 6444718128 is 8218174446.

6444718128 is a `hidden beast` number, since 6 + 4 + 447 + 181 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214428 + ... + 242628.

Almost surely, 2^6444718128 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 6444718128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669337720).

6444718128 is an abundant number, since it is smaller than the sum of its proper divisors (12893957312).

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

6444718128 is a wasteful number, since it uses less digits than its factorization.

6444718128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28264 (or 28229 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 6444718128 is about 80279.0017875160. The cubic root of 6444718128 is about 1860.9497334970.

The spelling of 6444718128 in words is "six billion, four hundred forty-four million, seven hundred eighteen thousand, one hundred twenty-eight".