6426256144 has 80 divisors (see below), whose sum is σ = 15537862656. Its totient is φ = 2501366400.

The previous prime is 6426256141. The next prime is 6426256153. The reversal of 6426256144 is 4416526246.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6426256097 and 6426256106.

It is not an unprimeable number, because it can be changed into a prime (6426256141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1884489 + ... + 1887895.

Almost surely, 2^6426256144 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 6426256144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7768931328).

6426256144 is an abundant number, since it is smaller than the sum of its proper divisors (9111606512).

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

6426256144 is a wasteful number, since it uses less digits than its factorization.

6426256144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4958 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 6426256144 is about 80163.9329374501. The cubic root of 6426256144 is about 1859.1710323027.

The spelling of 6426256144 in words is "six billion, four hundred twenty-six million, two hundred fifty-six thousand, one hundred forty-four".