6822211944240 has 960 divisors, whose sum is σ = 30042874847232. Its totient is φ = 1345970995200.

The previous prime is 6822211944173. The next prime is 6822211944259. The reversal of 6822211944240 is 424491122286.

6822211944240 is a `hidden beast` number, since 6 + 8 + 2 + 2 + 211 + 9 + 4 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91050472 + ... + 91125368.

Almost surely, 2^{6822211944240} is an apocalyptic number.

6822211944240 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 6822211944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15021437423616).

6822211944240 is an abundant number, since it is smaller than the sum of its proper divisors (23220662902992).

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

6822211944240 is a wasteful number, since it uses less digits than its factorization.

6822211944240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75018 (or 75009 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 6822211944240 in words is "six trillion, eight hundred twenty-two billion, two hundred eleven million, nine hundred forty-four thousand, two hundred forty".