6826094195200 has 180 divisors, whose sum is σ = 19673355980322. Its totient is φ = 2340374937600.

The previous prime is 6826094195189. The next prime is 6826094195201. The reversal of 6826094195200 is 25914906286.

It can be written as a sum of positive squares in 3 ways, for example, as 5706594767104 + 1119499428096 = 2388848^2 + 1058064^2 .

It is not an unprimeable number, because it can be changed into a prime (6826094195201) 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 17 ways as a sum of consecutive naturals, for example, 4814521 + ... + 6068920.

Almost surely, 2^{6826094195200} is an apocalyptic number.

It is an amenable number.

6826094195200 is an abundant number, since it is smaller than the sum of its proper divisors (12847261785122).

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

6826094195200 is a wasteful number, since it uses less digits than its factorization.

6826094195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10883483 (or 10883455 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 6826094195200 in words is "six trillion, eight hundred twenty-six billion, ninety-four million, one hundred ninety-five thousand, two hundred".