8029983864 has 64 divisors (see below), whose sum is σ = 24292396800. Its totient is φ = 2159322624.

The previous prime is 8029983827. The next prime is 8029983919. The reversal of 8029983864 is 4683899208.

It is a super-3 number, since 3×8029983864³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402954 + ... + 1408665.

It is an arithmetic number, because the mean of its divisors is an integer number (379568700).

Almost surely, 2^8029983864 is an apocalyptic number.

8029983864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8029983864 is an abundant number, since it is smaller than the sum of its proper divisors (16262412936).

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

8029983864 is a wasteful number, since it uses less digits than its factorization.

8029983864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811652 (or 2811648 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The square root of 8029983864 is about 89610.1772345084. The cubic root of 8029983864 is about 2002.4955401778.

The spelling of 8029983864 in words is "eight billion, twenty-nine million, nine hundred eighty-three thousand, eight hundred sixty-four".