8686720800 has 288 divisors, whose sum is σ = 32432924160. Its totient is φ = 2241561600.

The previous prime is 8686720759. The next prime is 8686720811. The reversal of 8686720800 is 80276868.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 663114 + ... + 676086.

It is an arithmetic number, because the mean of its divisors is an integer number (112614320).

Almost surely, 2^8686720800 is an apocalyptic number.

8686720800 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 8686720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216462080).

8686720800 is an abundant number, since it is smaller than the sum of its proper divisors (23746203360).

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

8686720800 is a wasteful number, since it uses less digits than its factorization.

8686720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033 (or 13014 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8686720800 is about 93202.5793634489. The cubic root of 8686720800 is about 2055.6631670741.

The spelling of 8686720800 in words is "eight billion, six hundred eighty-six million, seven hundred twenty thousand, eight hundred".