6823199336400 has 360 divisors, whose sum is σ = 24694237078784. Its totient is φ = 1742670028800.

The previous prime is 6823199336381. The next prime is 6823199336461. The reversal of 6823199336400 is 46339913286.

6823199336400 is a `hidden beast` number, since 6 + 82 + 3 + 199 + 336 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10510047 + ... + 11140353.

Almost surely, 2^{6823199336400} is an apocalyptic number.

6823199336400 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 6823199336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347118539392).

6823199336400 is an abundant number, since it is smaller than the sum of its proper divisors (17871037742384).

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

6823199336400 is a wasteful number, since it uses less digits than its factorization.

6823199336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630459 (or 630445 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 6823199336400 in words is "six trillion, eight hundred twenty-three billion, one hundred ninety-nine million, three hundred thirty-six thousand, four hundred".