6856279367868 has 384 divisors, whose sum is σ = 20886727680000. Its totient is φ = 1944125426880.

The previous prime is 6856279367851. The next prime is 6856279367869. The reversal of 6856279367868 is 8687639726586.

6856279367868 is a `hidden beast` number, since 68 + 56 + 2 + 79 + 367 + 86 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6856279367869) 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 127 ways as a sum of consecutive naturals, for example, 5855062923 + ... + 5855064093.

It is an arithmetic number, because the mean of its divisors is an integer number (54392520000).

Almost surely, 2^{6856279367868} 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 6856279367868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10443363840000).

6856279367868 is an abundant number, since it is smaller than the sum of its proper divisors (14030448312132).

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

6856279367868 is a wasteful number, since it uses less digits than its factorization.

6856279367868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2245 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 6856279367868 in words is "six trillion, eight hundred fifty-six billion, two hundred seventy-nine million, three hundred sixty-seven thousand, eight hundred sixty-eight".