6823455284800 has 1344 divisors, whose sum is σ = 22446357626880. Its totient is φ = 1979707392000.

The previous prime is 6823455284791. The next prime is 6823455284803. The reversal of 6823455284800 is 84825543286.

It is a super-2 number, since 2×6823455284800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (6823455284803) 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 191 ways as a sum of consecutive naturals, for example, 15402833379 + ... + 15402833821.

Almost surely, 2^{6823455284800} 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 6823455284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223178813440).

6823455284800 is an abundant number, since it is smaller than the sum of its proper divisors (15622902342080).

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

6823455284800 is a wasteful number, since it uses less digits than its factorization.

6823455284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 55.

The spelling of 6823455284800 in words is "six trillion, eight hundred twenty-three billion, four hundred fifty-five million, two hundred eighty-four thousand, eight hundred".