6856083336960 has 2160 divisors, whose sum is σ = 29327582968992. Its totient is φ = 1525360066560.

The previous prime is 6856083336931. The next prime is 6856083336967. The reversal of 6856083336960 is 696333806586.

6856083336960 is a `hidden beast` number, since 6 + 8 + 560 + 8 + 3 + 3 + 3 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6856083336967) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39630539434 + ... + 39630539606.

Almost surely, 2^{6856083336960} is an apocalyptic number.

6856083336960 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 6856083336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14663791484496).

6856083336960 is an abundant number, since it is smaller than the sum of its proper divisors (22471499632032).

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

6856083336960 is an equidigital number, since it uses as much as digits as its factorization.

6856083336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 6856083336960 in words is "six trillion, eight hundred fifty-six billion, eighty-three million, three hundred thirty-six thousand, nine hundred sixty".