8668263600 has 300 divisors, whose sum is σ = 32749380840. Its totient is φ = 2189721600.

The previous prime is 8668263577. The next prime is 8668263607. The reversal of 8668263600 is 63628668.

8668263600 is a `hidden beast` number, since 8 + 6 + 6 + 8 + 2 + 636 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 (8668263607) 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 59 ways as a sum of consecutive naturals, for example, 608560 + ... + 622640.

Almost surely, 2^8668263600 is an apocalyptic number.

8668263600 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 8668263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374690420).

8668263600 is an abundant number, since it is smaller than the sum of its proper divisors (24081117240).

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

8668263600 is a wasteful number, since it uses less digits than its factorization.

8668263600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14130 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 8668263600 is about 93103.5101379105. The cubic root of 8668263600 is about 2054.2062041515.

The spelling of 8668263600 in words is "eight billion, six hundred sixty-eight million, two hundred sixty-three thousand, six hundred".