6846726960 has 160 divisors (see below), whose sum is σ = 24344156160. Its totient is φ = 1766880000.

The previous prime is 6846726947. The next prime is 6846726961. The reversal of 6846726960 is 696276486.

6846726960 is a `hidden beast` number, since 68 + 467 + 2 + 69 + 60 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6846726897 and 6846726906.

It is not an unprimeable number, because it can be changed into a prime (6846726961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15835 + ... + 118085.

It is an arithmetic number, because the mean of its divisors is an integer number (152150976).

Almost surely, 2^6846726960 is an apocalyptic number.

6846726960 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 6846726960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12172078080).

6846726960 is an abundant number, since it is smaller than the sum of its proper divisors (17497429200).

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

6846726960 is a wasteful number, since it uses less digits than its factorization.

6846726960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102304 (or 102292 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6846726960 is about 82744.9512659232. The cubic root of 6846726960 is about 1898.8660787190.

The spelling of 6846726960 in words is "six billion, eight hundred forty-six million, seven hundred twenty-six thousand, nine hundred sixty".