6338579456 has 88 divisors (see below), whose sum is σ = 13903715280. Its totient is φ = 2864332800.

The previous prime is 6338579437. The next prime is 6338579537. The reversal of 6338579456 is 6549758336.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2037230 + ... + 2040338.

Almost surely, 2^6338579456 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 6338579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6951857640).

6338579456 is an abundant number, since it is smaller than the sum of its proper divisors (7565135824).

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

6338579456 is a wasteful number, since it uses less digits than its factorization.

6338579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3303 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 56.

The square root of 6338579456 is about 79615.1961374209. The cubic root of 6338579456 is about 1850.6770792664.

The spelling of 6338579456 in words is "six billion, three hundred thirty-eight million, five hundred seventy-nine thousand, four hundred fifty-six".