7948968120 has 144 divisors (see below), whose sum is σ = 27443552760. Its totient is φ = 1995009024.

The previous prime is 7948968091. The next prime is 7948968127. The reversal of 7948968120 is 218698497.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7948968127) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 65839 + ... + 142241.

Almost surely, 2^7948968120 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 7948968120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721776380).

7948968120 is an abundant number, since it is smaller than the sum of its proper divisors (19494584640).

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

7948968120 is a wasteful number, since it uses less digits than its factorization.

7948968120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76454 (or 76430 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 7948968120 is about 89156.9858171529. The cubic root of 7948968120 is about 1995.7382686064.

The spelling of 7948968120 in words is "seven billion, nine hundred forty-eight million, nine hundred sixty-eight thousand, one hundred twenty".