6838818940800 has 2304 divisors, whose sum is σ = 31756942425600. Its totient is φ = 1406774476800.

The previous prime is 6838818940771. The next prime is 6838818940813. The reversal of 6838818940800 is 80498188386.

6838818940800 is a `hidden beast` number, since 68 + 388 + 1 + 89 + 40 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8269429987 + ... + 8269430813.

It is an arithmetic number, because the mean of its divisors is an integer number (13783395150).

Almost surely, 2^{6838818940800} is an apocalyptic number.

6838818940800 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 6838818940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878471212800).

6838818940800 is an abundant number, since it is smaller than the sum of its proper divisors (24918123484800).

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

6838818940800 is a wasteful number, since it uses less digits than its factorization.

6838818940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 6838818940800 in words is "six trillion, eight hundred thirty-eight billion, eight hundred eighteen million, nine hundred forty thousand, eight hundred".