8716948800 has 336 divisors, whose sum is σ = 33228028032. Its totient is φ = 1959321600.

The previous prime is 8716948753. The next prime is 8716948843. The reversal of 8716948800 is 88496178.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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, 2047474 + ... + 2051726.

Almost surely, 2^8716948800 is an apocalyptic number.

8716948800 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 8716948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16614014016).

8716948800 is an abundant number, since it is smaller than the sum of its proper divisors (24511079232).

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

8716948800 is a wasteful number, since it uses less digits than its factorization.

8716948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 8716948800 is about 93364.6014290213. The cubic root of 8716948800 is about 2058.0448348390.

The spelling of 8716948800 in words is "eight billion, seven hundred sixteen million, nine hundred forty-eight thousand, eight hundred".