6856770312 has 256 divisors, whose sum is σ = 23385600000. Its totient is φ = 1855586880.

The previous prime is 6856770301. The next prime is 6856770313. The reversal of 6856770312 is 2130776586.

6856770312 is a `hidden beast` number, since 6 + 8 + 567 + 70 + 3 + 12 = 666.

It is a super-2 number, since 2×6856770312² = 94030598223049154688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6856770313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1405237 + ... + 1410107.

It is an arithmetic number, because the mean of its divisors is an integer number (91350000).

Almost surely, 2^6856770312 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 6856770312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692800000).

6856770312 is an abundant number, since it is smaller than the sum of its proper divisors (16528829688).

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

6856770312 is a wasteful number, since it uses less digits than its factorization.

6856770312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6856770312 is about 82805.6176355204. The cubic root of 6856770312 is about 1899.7940969853.

The spelling of 6856770312 in words is "six billion, eight hundred fifty-six million, seven hundred seventy thousand, three hundred twelve".