6874683553800 has 768 divisors, whose sum is σ = 25291193760000. Its totient is φ = 1711466496000.

The previous prime is 6874683553769. The next prime is 6874683553847. The reversal of 6874683553800 is 83553864786.

It is a happy number.

6874683553800 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 68 + 35 + 538 + 0 + 0 = 666.

It is a super-2 number, since 2×6874683553800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2373033952 + ... + 2373036848.

It is an arithmetic number, because the mean of its divisors is an integer number (32931241875).

Almost surely, 2^{6874683553800} is an apocalyptic number.

6874683553800 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 6874683553800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645596880000).

6874683553800 is an abundant number, since it is smaller than the sum of its proper divisors (18416510206200).

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

6874683553800 is a wasteful number, since it uses less digits than its factorization.

6874683553800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 6874683553800 in words is "six trillion, eight hundred seventy-four billion, six hundred eighty-three million, five hundred fifty-three thousand, eight hundred".