6828022180 has 192 divisors, whose sum is σ = 17586745344. Its totient is φ = 2177280000.

The previous prime is 6828022147. The next prime is 6828022181. The reversal of 6828022180 is 812208286.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (6828022181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16218370 + ... + 16218790.

It is an arithmetic number, because the mean of its divisors is an integer number (91597632).

Almost surely, 2^6828022180 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 6828022180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8793372672).

6828022180 is an abundant number, since it is smaller than the sum of its proper divisors (10758723164).

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

6828022180 is a wasteful number, since it uses less digits than its factorization.

6828022180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 6828022180 is about 82631.8472503187. The cubic root of 6828022180 is about 1897.1353118014.

The spelling of 6828022180 in words is "six billion, eight hundred twenty-eight million, twenty-two thousand, one hundred eighty".