8617328640 has 288 divisors, whose sum is σ = 30702188160. Its totient is φ = 2293235712.

The previous prime is 8617328639. The next prime is 8617328653. The reversal of 8617328640 is 468237168.

8617328640 is a `hidden beast` number, since 8 + 617 + 3 + 28 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694477 + ... + 17694963.

It is an arithmetic number, because the mean of its divisors is an integer number (106604820).

Almost surely, 2^8617328640 is an apocalyptic number.

8617328640 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 8617328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351094080).

8617328640 is an abundant number, since it is smaller than the sum of its proper divisors (22084859520).

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

8617328640 is an frugal number, since it uses more digits than its factorization.

8617328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8617328640 is about 92829.5677033993. The cubic root of 8617328640 is about 2050.1747731223.

The spelling of 8617328640 in words is "eight billion, six hundred seventeen million, three hundred twenty-eight thousand, six hundred forty".