6822338734848 has 864 divisors, whose sum is σ = 23478617594880. Its totient is φ = 1742071726080.

The previous prime is 6822338734793. The next prime is 6822338734873. The reversal of 6822338734848 is 8484378332286.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2788040761 + ... + 2788043207.

It is an arithmetic number, because the mean of its divisors is an integer number (27174325920).

Almost surely, 2^{6822338734848} 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 6822338734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11739308797440).

6822338734848 is an abundant number, since it is smaller than the sum of its proper divisors (16656278860032).

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

6822338734848 is a wasteful number, since it uses less digits than its factorization.

6822338734848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2652 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 66.

The spelling of 6822338734848 in words is "six trillion, eight hundred twenty-two billion, three hundred thirty-eight million, seven hundred thirty-four thousand, eight hundred forty-eight".