6820838784 has 192 divisors, whose sum is σ = 20652503040. Its totient is φ = 2156571648.

The previous prime is 6820838779. The next prime is 6820838833. The reversal of 6820838784 is 4878380286.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 6820838784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3363979 + ... + 3366005.

It is an arithmetic number, because the mean of its divisors is an integer number (107565120).

Almost surely, 2^6820838784 is an apocalyptic number.

6820838784 is a gapful number since it is divisible by the number (64) 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 6820838784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326251520).

6820838784 is an abundant number, since it is smaller than the sum of its proper divisors (13831664256).

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

6820838784 is a wasteful number, since it uses less digits than its factorization.

6820838784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 6820838784 is about 82588.3695443856. The cubic root of 6820838784 is about 1896.4697869150.

The spelling of 6820838784 in words is "six billion, eight hundred twenty million, eight hundred thirty-eight thousand, seven hundred eighty-four".