6338805792264 has 192 divisors, whose sum is σ = 19231919216640. Its totient is φ = 1869766778880.

The previous prime is 6338805792239. The next prime is 6338805792281. The reversal of 6338805792264 is 4622975088336.

It is a happy number.

6338805792264 is a `hidden beast` number, since 6 + 3 + 38 + 8 + 0 + 579 + 2 + 26 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4736424 + ... + 5925480.

It is an arithmetic number, because the mean of its divisors is an integer number (100166245920).

Almost surely, 2^{6338805792264} 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 6338805792264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9615959608320).

6338805792264 is an abundant number, since it is smaller than the sum of its proper divisors (12893113424376).

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

6338805792264 is a wasteful number, since it uses less digits than its factorization.

6338805792264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189260 (or 1189253 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 6338805792264 in words is "six trillion, three hundred thirty-eight billion, eight hundred five million, seven hundred ninety-two thousand, two hundred sixty-four".