6820000000 has 288 divisors, whose sum is σ = 19162450944. Its totient is φ = 2400000000.

The previous prime is 6819999971. The next prime is 6820000009. The reversal of 6820000000 is 286.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219999985 + ... + 220000015.

It is an arithmetic number, because the mean of its divisors is an integer number (66536288).

Almost surely, 2^6820000000 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 6820000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9581225472).

6820000000 is an abundant number, since it is smaller than the sum of its proper divisors (12342450944).

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

6820000000 is an frugal number, since it uses more digits than its factorization.

6820000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 6820000000 is about 82583.2912882503. The cubic root of 6820000000 is about 1896.3920450725.

Adding to 6820000000 its reverse (286), we get a palindrome (6820000286).

The spelling of 6820000000 in words is "six billion, eight hundred twenty million", and thus it is an aban number.