6456811344 has 240 divisors, whose sum is σ = 19470575232. Its totient is φ = 1833689088.

The previous prime is 6456811313. The next prime is 6456811391. The reversal of 6456811344 is 4431186546.

It is a junction number, because it is equal to n+sod(n) for n = 6456811296 and 6456811305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6774772 + ... + 6775724.

Almost surely, 2^6456811344 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 6456811344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9735287616).

6456811344 is an abundant number, since it is smaller than the sum of its proper divisors (13013763888).

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

6456811344 is a wasteful number, since it uses less digits than its factorization.

6456811344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1017 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 6456811344 is about 80354.2864071357. The cubic root of 6456811344 is about 1862.1130016107.

The spelling of 6456811344 in words is "six billion, four hundred fifty-six million, eight hundred eleven thousand, three hundred forty-four".