6338744064 has 108 divisors (see below), whose sum is σ = 19070936976. Its totient is φ = 2021031936.

The previous prime is 6338744039. The next prime is 6338744077. The reversal of 6338744064 is 4604478336.

6338744064 is a `hidden beast` number, since 633 + 8 + 7 + 4 + 4 + 0 + 6 + 4 = 666.

It is a congruent number.

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, 6817 + ... + 112800.

Almost surely, 2^6338744064 is an apocalyptic number.

6338744064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6338744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535468488).

6338744064 is an abundant number, since it is smaller than the sum of its proper divisors (12732192912).

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

6338744064 is a wasteful number, since it uses less digits than its factorization.

6338744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119662 (or 119645 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 6338744064 is about 79616.2299032050. The cubic root of 6338744064 is about 1850.6930993446.

The spelling of 6338744064 in words is "six billion, three hundred thirty-eight million, seven hundred forty-four thousand, sixty-four".