8489664000 has 640 divisors, whose sum is σ = 33321974400. Its totient is φ = 2130739200.

The previous prime is 8489663993. The next prime is 8489664013. The reversal of 8489664000 is 4669848.

It is a happy number.

The cubic root of 8489664000 is 2040.

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

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 499391992 + ... + 499392008.

It is an arithmetic number, because the mean of its divisors is an integer number (52065585).

Almost surely, 2^8489664000 is an apocalyptic number.

8489664000 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 8489664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16660987200).

8489664000 is an abundant number, since it is smaller than the sum of its proper divisors (24832310400).

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

8489664000 is an frugal number, since it uses more digits than its factorization.

8489664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8489664000 is about 92139.3726915915.

The spelling of 8489664000 in words is "eight billion, four hundred eighty-nine million, six hundred sixty-four thousand".