8722563200 has 216 divisors, whose sum is σ = 23517620055. Its totient is φ = 3195279360.

The previous prime is 8722563193. The next prime is 8722563203. The reversal of 8722563200 is 23652278.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 546063424 + 8176499776 = 23368^2 + 90424^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=66040.

It is not an unprimeable number, because it can be changed into a prime (8722563203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68681537 + ... + 68681663.

Almost surely, 2^8722563200 is an apocalyptic number.

8722563200 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 8722563200

8722563200 is an abundant number, since it is smaller than the sum of its proper divisors (14795056855).

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

8722563200 is a wasteful number, since it uses less digits than its factorization.

8722563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 8722563200 is about 93394.6636591192. The cubic root of 8722563200 is about 2058.4865875426.

The spelling of 8722563200 in words is "eight billion, seven hundred twenty-two million, five hundred sixty-three thousand, two hundred".