7964000000 has 252 divisors, whose sum is σ = 21797064744. Its totient is φ = 2880000000.

The previous prime is 7963999999. The next prime is 7964000027. The reversal of 7964000000 is 4697.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43999910 + ... + 44000090.

Almost surely, 2^7964000000 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 7964000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10898532372).

7964000000 is an abundant number, since it is smaller than the sum of its proper divisors (13833064744).

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

7964000000 is an frugal number, since it uses more digits than its factorization.

7964000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 7964000000 is about 89241.2460692924. The cubic root of 7964000000 is about 1996.9954887161.

Adding to 7964000000 its reverse (4697), we get a palindrome (7964004697).

The spelling of 7964000000 in words is "seven billion, nine hundred sixty-four million", and thus it is an aban number.