6822799984 has 240 divisors, whose sum is σ = 19022532480. Its totient is φ = 2323883520.

The previous prime is 6822799969. The next prime is 6822799999. The reversal of 6822799984 is 4899972286.

It is an interprime number because it is at equal distance from previous prime (6822799969) and next prime (6822799999).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2128527 + ... + 2131729.

It is an arithmetic number, because the mean of its divisors is an integer number (79260552).

Almost surely, 2^6822799984 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 6822799984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9511266240).

6822799984 is an abundant number, since it is smaller than the sum of its proper divisors (12199732496).

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

6822799984 is a wasteful number, since it uses less digits than its factorization.

6822799984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3255 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 64.

The square root of 6822799984 is about 82600.2420335437. The cubic root of 6822799984 is about 1896.6515338743.

The spelling of 6822799984 in words is "six billion, eight hundred twenty-two million, seven hundred ninety-nine thousand, nine hundred eighty-four".