7993600000 has 144 divisors (see below), whose sum is σ = 19993837500. Its totient is φ = 3194880000.

The previous prime is 7993599997. The next prime is 7993600031. The reversal of 7993600000 is 63997.

It can be written as a sum of positive squares in 6 ways, for example, as 1214383104 + 6779216896 = 34848^2 + 82336^2 .

It is a super-3 number, since 3×7993600000³ (a number of 31 digits) contains 333 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 11 ways as a sum of consecutive naturals, for example, 6399376 + ... + 6400624.

Almost surely, 2^7993600000 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 7993600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996918750).

7993600000 is an abundant number, since it is smaller than the sum of its proper divisors (12000237500).

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

7993600000 is an frugal number, since it uses more digits than its factorization.

7993600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 7993600000 is about 89406.9348540705. The cubic root of 7993600000 is about 1999.4665243812.

Adding to 7993600000 its reverse (63997), we get a palindrome (7993663997).

The spelling of 7993600000 in words is "seven billion, nine hundred ninety-three million, six hundred thousand".