6682822272 has 768 divisors, whose sum is σ = 25302528000. Its totient is φ = 1724405760.

The previous prime is 6682822271. The next prime is 6682822283. The reversal of 6682822272 is 2722282866.

It is a super-2 number, since 2×6682822272² = 89320227038278483968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6682822271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99743583 + ... + 99743649.

It is an arithmetic number, because the mean of its divisors is an integer number (32946000).

Almost surely, 2^6682822272 is an apocalyptic number.

6682822272 is a gapful number since it is divisible by the number (62) 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 6682822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12651264000).

6682822272 is an abundant number, since it is smaller than the sum of its proper divisors (18619705728).

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

6682822272 is a wasteful number, since it uses less digits than its factorization.

6682822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 6682822272 is about 81748.5307023924. The cubic root of 6682822272 is about 1883.5911320126.

The spelling of 6682822272 in words is "six billion, six hundred eighty-two million, eight hundred twenty-two thousand, two hundred seventy-two".