8064000000 has 588 divisors, whose sum is σ = 33277542792. Its totient is φ = 1843200000.

The previous prime is 8063999947. The next prime is 8064000013. The reversal of 8064000000 is 4608.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1151999997 + ... + 1152000003.

Almost surely, 2^8064000000 is an apocalyptic number.

8064000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8064000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16638771396).

8064000000 is an abundant number, since it is smaller than the sum of its proper divisors (25213542792).

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

8064000000 is an frugal number, since it uses more digits than its factorization.

8064000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8064000000 is about 89799.7772825746. Note that the first 3 decimals coincide. The cubic root of 8064000000 is about 2005.3191739858.

Adding to 8064000000 its reverse (4608), we get a palindrome (8064004608).

The spelling of 8064000000 in words is "eight billion, sixty-four million", and thus it is an aban number.