7968075520 has 72 divisors (see below), whose sum is σ = 19196888256. Its totient is φ = 3168718848.

The previous prime is 7968075481. The next prime is 7968075527. The reversal of 7968075520 is 255708697.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968075527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203449 + ... + 239431.

It is an arithmetic number, because the mean of its divisors is an integer number (266623448).

Almost surely, 2^7968075520 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 7968075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9598444128).

7968075520 is an abundant number, since it is smaller than the sum of its proper divisors (11228812736).

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

7968075520 is a wasteful number, since it uses less digits than its factorization.

7968075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36177 (or 36163 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The square root of 7968075520 is about 89264.0774331982. The cubic root of 7968075520 is about 1997.3360800072.

The spelling of 7968075520 in words is "seven billion, nine hundred sixty-eight million, seventy-five thousand, five hundred twenty".