8586864468 has 432 divisors, whose sum is σ = 28777641984. Its totient is φ = 2136637440.

The previous prime is 8586864443. The next prime is 8586864469. The reversal of 8586864468 is 8644686858.

8586864468 is a `hidden beast` number, since 8 + 58 + 68 + 64 + 468 = 666.

It is a super-3 number, since 3×8586864468³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (70778880) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8586864469) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33411796 + ... + 33412052.

It is an arithmetic number, because the mean of its divisors is an integer number (66614912).

Almost surely, 2^8586864468 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 8586864468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388820992).

8586864468 is an abundant number, since it is smaller than the sum of its proper divisors (20190777516).

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

8586864468 is a wasteful number, since it uses less digits than its factorization.

8586864468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The square root of 8586864468 is about 92665.3358489570. The cubic root of 8586864468 is about 2047.7559793920.

The spelling of 8586864468 in words is "eight billion, five hundred eighty-six million, eight hundred sixty-four thousand, four hundred sixty-eight".