6828796800000 has 1584 divisors, whose sum is σ = 29423102113440. Its totient is φ = 1559900160000.

The previous prime is 6828796799999. The next prime is 6828796800011. The reversal of 6828796800000 is 86978286.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6828796800000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4233599194 + ... + 4233600806.

Almost surely, 2^{6828796800000} is an apocalyptic number.

6828796800000 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 6828796800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711551056720).

6828796800000 is an abundant number, since it is smaller than the sum of its proper divisors (22594305313440).

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

6828796800000 is an equidigital number, since it uses as much as digits as its factorization.

6828796800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 6828796800000 in words is "six trillion, eight hundred twenty-eight billion, seven hundred ninety-six million, eight hundred thousand".