8716608000 has 480 divisors, whose sum is σ = 32322953520. Its totient is φ = 2256076800.

The previous prime is 8716607989. The next prime is 8716608007. The reversal of 8716608000 is 8066178.

It can be written as a sum of positive squares in 8 ways, for example, as 3202654464 + 5513953536 = 56592^2 + 74256^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8716608007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21311796 + ... + 21312204.

Almost surely, 2^8716608000 is an apocalyptic number.

8716608000 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 8716608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16161476760).

8716608000 is an abundant number, since it is smaller than the sum of its proper divisors (23606345520).

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

8716608000 is a wasteful number, since it uses less digits than its factorization.

8716608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8716608000 is about 93362.7763083339. The cubic root of 8716608000 is about 2058.0180138784.

The spelling of 8716608000 in words is "eight billion, seven hundred sixteen million, six hundred eight thousand".