8668083600 has 720 divisors, whose sum is σ = 35461730304. Its totient is φ = 1938816000.

The previous prime is 8668083581. The next prime is 8668083691. The reversal of 8668083600 is 63808668.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28234647 + ... + 28234953.

Almost surely, 2^8668083600 is an apocalyptic number.

8668083600 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 8668083600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730865152).

8668083600 is an abundant number, since it is smaller than the sum of its proper divisors (26793646704).

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

8668083600 is a wasteful number, since it uses less digits than its factorization.

8668083600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8668083600 is about 93102.5434668678. The cubic root of 8668083600 is about 2054.1919852455.

The spelling of 8668083600 in words is "eight billion, six hundred sixty-eight million, eighty-three thousand, six hundred".