8666688420 has 288 divisors, whose sum is σ = 30473452800. Its totient is φ = 2040090624.

The previous prime is 8666688413. The next prime is 8666688449. The reversal of 8666688420 is 248866668.

It is a happy number.

It is a super-2 number, since 2×8666688420² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 2096916 + ... + 2101044.

It is an arithmetic number, because the mean of its divisors is an integer number (105810600).

Almost surely, 2^8666688420 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 8666688420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15236726400).

8666688420 is an abundant number, since it is smaller than the sum of its proper divisors (21806764380).

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

8666688420 is a wasteful number, since it uses less digits than its factorization.

8666688420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 8666688420 is about 93095.0504591947. The cubic root of 8666688420 is about 2054.0817678285.

The spelling of 8666688420 in words is "eight billion, six hundred sixty-six million, six hundred eighty-eight thousand, four hundred twenty".