8672716800 has 864 divisors, whose sum is σ = 35646156000. Its totient is φ = 1995571200.

The previous prime is 8672716751. The next prime is 8672716807. The reversal of 8672716800 is 86172768.

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

It is not an unprimeable number, because it can be changed into a prime (8672716807) 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 71 ways as a sum of consecutive naturals, for example, 146995171 + ... + 146995229.

It is an arithmetic number, because the mean of its divisors is an integer number (41257125).

Almost surely, 2^8672716800 is an apocalyptic number.

8672716800 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 8672716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823078000).

8672716800 is an abundant number, since it is smaller than the sum of its proper divisors (26973439200).

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

8672716800 is a wasteful number, since it uses less digits than its factorization.

8672716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 8672716800 is about 93127.4223846016. The cubic root of 8672716800 is about 2054.5579172289.

The spelling of 8672716800 in words is "eight billion, six hundred seventy-two million, seven hundred sixteen thousand, eight hundred".