8064224608 has 96 divisors (see below), whose sum is σ = 17660190240. Its totient is φ = 3594240000.

The previous prime is 8064224591. The next prime is 8064224617.

8064224608 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3874128 + ... + 3876208.

It is an arithmetic number, because the mean of its divisors is an integer number (183960315).

Almost surely, 2^8064224608 is an apocalyptic number.

8064224608 is a gapful number since it is divisible by the number (88) 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 8064224608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830095120).

8064224608 is an abundant number, since it is smaller than the sum of its proper divisors (9595965632).

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

8064224608 is a wasteful number, since it uses less digits than its factorization.

8064224608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 8064224608 is about 89801.0278783044. The cubic root of 8064224608 is about 2005.3377919813.

The spelling of 8064224608 in words is "eight billion, sixty-four million, two hundred twenty-four thousand, six hundred eight".