8640720000 has 480 divisors, whose sum is σ = 33926452560. Its totient is φ = 2092800000.

The previous prime is 8640719987. The next prime is 8640720019. The reversal of 8640720000 is 270468.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7919455 + ... + 7920545.

Almost surely, 2^8640720000 is an apocalyptic number.

8640720000 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 8640720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963226280).

8640720000 is an abundant number, since it is smaller than the sum of its proper divisors (25285732560).

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

8640720000 is a wasteful number, since it uses less digits than its factorization.

8640720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8640720000 is about 92955.4732116404. The cubic root of 8640720000 is about 2052.0281336270.

Adding to 8640720000 its reverse (270468), we get a palindrome (8640990468).

The spelling of 8640720000 in words is "eight billion, six hundred forty million, seven hundred twenty thousand".