6338684903040 has 512 divisors, whose sum is σ = 25981387776000. Its totient is φ = 1430500331520.

The previous prime is 6338684902997. The next prime is 6338684903129. The reversal of 6338684903040 is 403094868336.

6338684903040 is a `hidden beast` number, since 6 + 3 + 3 + 86 + 8 + 490 + 30 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9224175 + ... + 9887505.

It is an arithmetic number, because the mean of its divisors is an integer number (50744898000).

Almost surely, 2^{6338684903040} is an apocalyptic number.

6338684903040 is a gapful number since it is divisible by the number (60) 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 6338684903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990693888000).

6338684903040 is an abundant number, since it is smaller than the sum of its proper divisors (19642702872960).

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

6338684903040 is a wasteful number, since it uses less digits than its factorization.

6338684903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663445 (or 663427 counting only the distinct ones).

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

The spelling of 6338684903040 in words is "six trillion, three hundred thirty-eight billion, six hundred eighty-four million, nine hundred three thousand, forty".