6820800000 has 720 divisors, whose sum is σ = 27331531920. Its totient is φ = 1505280000.

The previous prime is 6820799963. The next prime is 6820800013. The reversal of 6820800000 is 80286.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235199986 + ... + 235200014.

It is an arithmetic number, because the mean of its divisors is an integer number (37960461).

Almost surely, 2^6820800000 is an apocalyptic number.

6820800000 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 6820800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665765960).

6820800000 is an abundant number, since it is smaller than the sum of its proper divisors (20510731920).

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

6820800000 is an frugal number, since it uses more digits than its factorization.

6820800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6820800000 is about 82588.1347410147. The cubic root of 6820800000 is about 1896.4661923999.

Adding to 6820800000 its reverse (80286), we get a palindrome (6820880286).

The spelling of 6820800000 in words is "six billion, eight hundred twenty million, eight hundred thousand".