6344240256 has 96 divisors (see below), whose sum is σ = 18309103020. Its totient is φ = 2108620800.

The previous prime is 6344240237. The next prime is 6344240269. The reversal of 6344240256 is 6520424436.

It can be written as a sum of positive squares in 2 ways, for example, as 6027969600 + 316270656 = 77640^2 + 17784^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6344240256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398856 + ... + 414456.

Almost surely, 2^6344240256 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 6344240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9154551510).

6344240256 is an abundant number, since it is smaller than the sum of its proper divisors (11964862764).

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

6344240256 is a wasteful number, since it uses less digits than its factorization.

6344240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15974 (or 15959 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 6344240256 is about 79650.7392056094. The cubic root of 6344240256 is about 1851.2278438730.

The spelling of 6344240256 in words is "six billion, three hundred forty-four million, two hundred forty thousand, two hundred fifty-six".