8064040000 has 105 divisors (see below), whose sum is σ = 20040832537. Its totient is φ = 3218432000.

The previous prime is 8064039953. The next prime is 8064040043. The reversal of 8064040000 is 404608.

The square root of 8064040000 is 89800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5389909056 + 2674130944 = 73416^2 + 51712^2 .

It is a super-2 number, since 2×8064040000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17959776 + ... + 17960224.

Almost surely, 2^8064040000 is an apocalyptic number.

8064040000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8064040000 is the 89800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8064040000

8064040000 is an abundant number, since it is smaller than the sum of its proper divisors (11976792537).

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

8064040000 is an frugal number, since it uses more digits than its factorization.

8064040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The cubic root of 8064040000 is about 2005.3224896536.

Adding to 8064040000 its reverse (404608), we get a palindrome (8064444608).

The spelling of 8064040000 in words is "eight billion, sixty-four million, forty thousand".