7963987824 has 160 divisors (see below), whose sum is σ = 26066456640. Its totient is φ = 2306285568.

The previous prime is 7963987793. The next prime is 7963987849. The reversal of 7963987824 is 4287893697.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53764 + ... + 137180.

It is an arithmetic number, because the mean of its divisors is an integer number (162915354).

Almost surely, 2^7963987824 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 7963987824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033228320).

7963987824 is an abundant number, since it is smaller than the sum of its proper divisors (18102468816).

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

7963987824 is a wasteful number, since it uses less digits than its factorization.

7963987824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83464 (or 83452 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The square root of 7963987824 is about 89241.1778496900. The cubic root of 7963987824 is about 1996.9944709935.

The spelling of 7963987824 in words is "seven billion, nine hundred sixty-three million, nine hundred eighty-seven thousand, eight hundred twenty-four".