6338800369404 has 144 divisors (see below), whose sum is σ = 16825052095488. Its totient is φ = 2086442851968.

The previous prime is 6338800369393. The next prime is 6338800369409. The reversal of 6338800369404 is 4049630088336.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6338800369409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172386229 + ... + 172422995.

It is an arithmetic number, because the mean of its divisors is an integer number (116840639552).

Almost surely, 2^{6338800369404} 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 6338800369404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8412526047744).

6338800369404 is an abundant number, since it is smaller than the sum of its proper divisors (10486251726084).

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

6338800369404 is a wasteful number, since it uses less digits than its factorization.

6338800369404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39006 (or 38992 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 6338800369404 in words is "six trillion, three hundred thirty-eight billion, eight hundred million, three hundred sixty-nine thousand, four hundred four".