6856077312 has 234 divisors, whose sum is σ = 22772880312. Its totient is φ = 1946861568.

The previous prime is 6856077301. The next prime is 6856077317. The reversal of 6856077312 is 2137706586.

6856077312 is a `hidden beast` number, since 6 + 8 + 5 + 607 + 7 + 31 + 2 = 666.

It is a super-2 number, since 2×6856077312² = 94011592216242290688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6856077317) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42061743 + ... + 42061905.

Almost surely, 2^6856077312 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 6856077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11386440156).

6856077312 is an abundant number, since it is smaller than the sum of its proper divisors (15916803000).

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

6856077312 is an equidigital number, since it uses as much as digits as its factorization.

6856077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 175 counting only the distinct ones).

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

The square root of 6856077312 is about 82801.4330310774. The cubic root of 6856077312 is about 1899.7300920381.

The spelling of 6856077312 in words is "six billion, eight hundred fifty-six million, seventy-seven thousand, three hundred twelve".