8244640000 has 135 divisors (see below), whose sum is σ = 20655752887. Its totient is φ = 3283328000.

The previous prime is 8244639901. The next prime is 8244640081. The reversal of 8244640000 is 464428.

The square root of 8244640000 is 90800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 646379776 + 7598260224 = 25424^2 + 87168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36319887 + ... + 36320113.

Almost surely, 2^8244640000 is an apocalyptic number.

8244640000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8244640000 is the 90800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8244640000

8244640000 is an abundant number, since it is smaller than the sum of its proper divisors (12411112887).

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

8244640000 is an frugal number, since it uses more digits than its factorization.

8244640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The cubic root of 8244640000 is about 2020.1823186092.

The spelling of 8244640000 in words is "eight billion, two hundred forty-four million, six hundred forty thousand".