8488136960 has 72 divisors (see below), whose sum is σ = 20533357656. Its totient is φ = 3361587200.

The previous prime is 8488136953. The next prime is 8488137023. The reversal of 8488136960 is 696318848.

It can be written as a sum of positive squares in 4 ways, for example, as 5732306944 + 2755830016 = 75712^2 + 52496^2 .

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 7 ways as a sum of consecutive naturals, for example, 96452 + ... + 162108.

It is an arithmetic number, because the mean of its divisors is an integer number (285185523).

Almost surely, 2^8488136960 is an apocalyptic number.

8488136960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8488136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10266678828).

8488136960 is an abundant number, since it is smaller than the sum of its proper divisors (12045220696).

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

8488136960 is a wasteful number, since it uses less digits than its factorization.

8488136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65779 (or 65765 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 53.

The square root of 8488136960 is about 92131.0857420013. The cubic root of 8488136960 is about 2039.8776807345.

The spelling of 8488136960 in words is "eight billion, four hundred eighty-eight million, one hundred thirty-six thousand, nine hundred sixty".