6338804472 has 512 divisors, whose sum is σ = 24901632000. Its totient is φ = 1438871040.

The previous prime is 6338804429. The next prime is 6338804477. The reversal of 6338804472 is 2744088336.

6338804472 is a `hidden beast` number, since 633 + 8 + 8 + 0 + 4 + 4 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6338804477) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4107333 + ... + 4108875.

It is an arithmetic number, because the mean of its divisors is an integer number (48636000).

Almost surely, 2^6338804472 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 6338804472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12450816000).

6338804472 is an abundant number, since it is smaller than the sum of its proper divisors (18562827528).

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

6338804472 is a wasteful number, since it uses less digits than its factorization.

6338804472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6338804472 is about 79616.6092721864. The cubic root of 6338804472 is about 1850.6989783385.

The spelling of 6338804472 in words is "six billion, three hundred thirty-eight million, eight hundred four thousand, four hundred seventy-two".