6339408768 has 576 divisors, whose sum is σ = 23490885600. Its totient is φ = 1605795840.

The previous prime is 6339408763. The next prime is 6339408791. The reversal of 6339408768 is 8678049336.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6339408763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71229268 + ... + 71229356.

Almost surely, 2^6339408768 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 6339408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745442800).

6339408768 is an abundant number, since it is smaller than the sum of its proper divisors (17151476832).

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

6339408768 is a wasteful number, since it uses less digits than its factorization.

6339408768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6339408768 is about 79620.4042190191. The cubic root of 6339408768 is about 1850.7577872437.

The spelling of 6339408768 in words is "six billion, three hundred thirty-nine million, four hundred eight thousand, seven hundred sixty-eight".