6705417216 has 132 divisors (see below), whose sum is σ = 18169515896. Its totient is φ = 2198568960.

The previous prime is 6705417209. The next prime is 6705417269. The reversal of 6705417216 is 6127145076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15485736 + ... + 15486168.

Almost surely, 2^6705417216 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 6705417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9084757948).

6705417216 is an abundant number, since it is smaller than the sum of its proper divisors (11464098680).

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

6705417216 is an equidigital number, since it uses as much as digits as its factorization.

6705417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 6705417216 is about 81886.6119460318. The cubic root of 6705417216 is about 1885.7115814732.

The spelling of 6705417216 in words is "six billion, seven hundred five million, four hundred seventeen thousand, two hundred sixteen".