6856083244800 has 1296 divisors, whose sum is σ = 26470067682240. Its totient is φ = 1686896640000.

The previous prime is 6856083244793. The next prime is 6856083244831. The reversal of 6856083244800 is 84423806586.

6856083244800 is a `hidden beast` number, since 6 + 8 + 5 + 60 + 83 + 24 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13159468540 + ... + 13159469060.

It is an arithmetic number, because the mean of its divisors is an integer number (20424434940).

Almost surely, 2^{6856083244800} is an apocalyptic number.

6856083244800 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 6856083244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13235033841120).

6856083244800 is an abundant number, since it is smaller than the sum of its proper divisors (19613984437440).

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

6856083244800 is a wasteful number, since it uses less digits than its factorization.

6856083244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 6856083244800 in words is "six trillion, eight hundred fifty-six billion, eighty-three million, two hundred forty-four thousand, eight hundred".