8608320000 has 900 divisors, whose sum is σ = 36705958146. Its totient is φ = 1935360000.

The previous prime is 8608319981. The next prime is 8608320001. The reversal of 8608320000 is 238068.

It can be written as a sum of positive squares in 5 ways, for example, as 317124864 + 8291195136 = 17808^2 + 91056^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is not an unprimeable number, because it can be changed into a prime (8608320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 141119970 + ... + 141120030.

Almost surely, 2^8608320000 is an apocalyptic number.

8608320000 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 8608320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352979073).

8608320000 is an abundant number, since it is smaller than the sum of its proper divisors (28097638146).

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

8608320000 is an equidigital number, since it uses as much as digits as its factorization.

8608320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8608320000 is about 92781.0325443730. The cubic root of 8608320000 is about 2049.4600997406.

Adding to 8608320000 its reverse (238068), we get a palindrome (8608558068).

The spelling of 8608320000 in words is "eight billion, six hundred eight million, three hundred twenty thousand".