6822265742208 has 384 divisors, whose sum is σ = 23200933317120. Its totient is φ = 1883889266688.

The previous prime is 6822265742189. The next prime is 6822265742219. The reversal of 6822265742208 is 8022475622286.

It is a happy number.

6822265742208 is a `hidden beast` number, since 6 + 8 + 22 + 26 + 574 + 2 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6822265742208² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28516141 + ... + 28754387.

It is an arithmetic number, because the mean of its divisors is an integer number (60419097180).

Almost surely, 2^{6822265742208} 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 6822265742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600466658560).

6822265742208 is an abundant number, since it is smaller than the sum of its proper divisors (16378667574912).

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

6822265742208 is a wasteful number, since it uses less digits than its factorization.

6822265742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238394 (or 238379 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 6822265742208 in words is "six trillion, eight hundred twenty-two billion, two hundred sixty-five million, seven hundred forty-two thousand, two hundred eight".