6344441856 has 256 divisors, whose sum is σ = 19251561600. Its totient is φ = 2064384000.

The previous prime is 6344441809. The next prime is 6344441879. The reversal of 6344441856 is 6581444436.

6344441856 is a `hidden beast` number, since 634 + 4 + 4 + 4 + 1 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62816206 + ... + 62816306.

Almost surely, 2^6344441856 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 6344441856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625780800).

6344441856 is an abundant number, since it is smaller than the sum of its proper divisors (12907119744).

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

6344441856 is an equidigital number, since it uses as much as digits as its factorization.

6344441856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 177 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 6344441856 is about 79652.0047205342. The cubic root of 6344441856 is about 1851.2474523979.

The spelling of 6344441856 in words is "six billion, three hundred forty-four million, four hundred forty-one thousand, eight hundred fifty-six".