8000688384 has 288 divisors, whose sum is σ = 25651382400. Its totient is φ = 2445189120.

The previous prime is 8000688379. The next prime is 8000688407. The reversal of 8000688384 is 4838860008.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8000688384² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 24171099 + ... + 24171429.

It is an arithmetic number, because the mean of its divisors is an integer number (89067300).

Almost surely, 2^8000688384 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 8000688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825691200).

8000688384 is an abundant number, since it is smaller than the sum of its proper divisors (17650694016).

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

8000688384 is a wasteful number, since it uses less digits than its factorization.

8000688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8000688384 is about 89446.5672007596. The cubic root of 8000688384 is about 2000.0573636880.

The spelling of 8000688384 in words is "eight billion, six hundred eighty-eight thousand, three hundred eighty-four".