6856918272 has 180 divisors, whose sum is σ = 21107619456. Its totient is φ = 2211701760.

The previous prime is 6856918247. The next prime is 6856918283. The reversal of 6856918272 is 2728196586.

6856918272 is a `hidden beast` number, since 6 + 8 + 569 + 1 + 8 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 637483 + ... + 648149.

Almost surely, 2^6856918272 is an apocalyptic number.

6856918272 is a gapful number since it is divisible by the number (62) 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 6856918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10553809728).

6856918272 is an abundant number, since it is smaller than the sum of its proper divisors (14250701184).

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

6856918272 is a wasteful number, since it uses less digits than its factorization.

6856918272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726 (or 10703 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 6856918272 is about 82806.5110483469. The cubic root of 6856918272 is about 1899.8077618985.

The spelling of 6856918272 in words is "six billion, eight hundred fifty-six million, nine hundred eighteen thousand, two hundred seventy-two".