6838426938816 has 560 divisors, whose sum is σ = 22495281684480. Its totient is φ = 2036836730880.

The previous prime is 6838426938803. The next prime is 6838426938851. The reversal of 6838426938816 is 6188396248386.

6838426938816 is a `hidden beast` number, since 6 + 8 + 38 + 426 + 93 + 8 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 789378901 + ... + 789387563.

Almost surely, 2^{6838426938816} is an apocalyptic number.

6838426938816 is a gapful number since it is divisible by the number (66) 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 6838426938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11247640842240).

6838426938816 is an abundant number, since it is smaller than the sum of its proper divisors (15656854745664).

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

6838426938816 is a wasteful number, since it uses less digits than its factorization.

6838426938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934 (or 8915 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 6838426938816 in words is "six trillion, eight hundred thirty-eight billion, four hundred twenty-six million, nine hundred thirty-eight thousand, eight hundred sixteen".