8205888672 has 144 divisors (see below), whose sum is σ = 23930629632. Its totient is φ = 2666027520.

The previous prime is 8205888671. The next prime is 8205888679. The reversal of 8205888672 is 2768885028.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8205888671) 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 23 ways as a sum of consecutive naturals, for example, 3667138 + ... + 3669374.

It is an arithmetic number, because the mean of its divisors is an integer number (166184928).

Almost surely, 2^8205888672 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 8205888672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11965314816).

8205888672 is an abundant number, since it is smaller than the sum of its proper divisors (15724740960).

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

8205888672 is a wasteful number, since it uses less digits than its factorization.

8205888672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 8205888672 is about 90586.3602977843. The cubic root of 8205888672 is about 2017.0122703581.

The spelling of 8205888672 in words is "eight billion, two hundred five million, eight hundred eighty-eight thousand, six hundred seventy-two".