8640000000 has 416 divisors, whose sum is σ = 31996011840. Its totient is φ = 2304000000.

The previous prime is 8639999983. The next prime is 8640000007. The reversal of 8640000000 is 468.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8640000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727999998 + ... + 1728000002.

It is an arithmetic number, because the mean of its divisors is an integer number (76913490).

Almost surely, 2^8640000000 is an apocalyptic number.

8640000000 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 8640000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998005920).

8640000000 is an abundant number, since it is smaller than the sum of its proper divisors (23356011840).

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

8640000000 is an frugal number, since it uses more digits than its factorization.

8640000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8640000000 is about 92951.6003089780. The cubic root of 8640000000 is about 2051.9711360120.

Adding to 8640000000 its reverse (468), we get a palindrome (8640000468).

The spelling of 8640000000 in words is "eight billion, six hundred forty million", and thus it is an aban number.