8084644320 has 96 divisors (see below), whose sum is σ = 25566111648. Its totient is φ = 2147483648.

The previous prime is 8084644307. The next prime is 8084644339. The reversal of 8084644320 is 234464808.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8084644320² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 8084644320 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90592 + ... + 156128.

It is an arithmetic number, because the mean of its divisors is an integer number (266313663).

Almost surely, 2^8084644320 is an apocalyptic number.

8084644320 is a gapful number since it is divisible by the number (80) 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 8084644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12783055824).

8084644320 is an abundant number, since it is smaller than the sum of its proper divisors (17481467328).

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

8084644320 is a wasteful number, since it uses less digits than its factorization.

8084644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65812 (or 65804 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 8084644320 is about 89914.6501967282. The cubic root of 8084644320 is about 2007.0289612457.

The spelling of 8084644320 in words is "eight billion, eighty-four million, six hundred forty-four thousand, three hundred twenty".