8668142700 has 288 divisors, whose sum is σ = 29386119168. Its totient is φ = 1931904000.

The previous prime is 8668142689. The next prime is 8668142701. The reversal of 8668142700 is 72418668.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8668142701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20111485 + ... + 20111915.

It is an arithmetic number, because the mean of its divisors is an integer number (102035136).

Almost surely, 2^8668142700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8668142700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14693059584).

8668142700 is an abundant number, since it is smaller than the sum of its proper divisors (20717976468).

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

8668142700 is a wasteful number, since it uses less digits than its factorization.

8668142700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8668142700 is about 93102.8608583002. The cubic root of 8668142700 is about 2054.1966538080.

The spelling of 8668142700 in words is "eight billion, six hundred sixty-eight million, one hundred forty-two thousand, seven hundred".