8205329844 has 54 divisors (see below), whose sum is σ = 21092182566. Its totient is φ = 2688880320.

The previous prime is 8205329843. The next prime is 8205329851. The reversal of 8205329844 is 4489235028.

8205329844 is a `hidden beast` number, since 8 + 20 + 532 + 98 + 4 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 608115600 + 7597214244 = 24660^2 + 87162^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8205329844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205329843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4243902 + ... + 4245834.

Almost surely, 2^8205329844 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 8205329844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546091283).

8205329844 is an abundant number, since it is smaller than the sum of its proper divisors (12886852722).

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

8205329844 is a wasteful number, since it uses less digits than its factorization.

8205329844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8205329844 is about 90583.2757411654. The cubic root of 8205329844 is about 2016.9664825682.

The spelling of 8205329844 in words is "eight billion, two hundred five million, three hundred twenty-nine thousand, eight hundred forty-four".