8437638160 has 160 divisors (see below), whose sum is σ = 23633130240. Its totient is φ = 2740168704.

The previous prime is 8437638133. The next prime is 8437638179. The reversal of 8437638160 is 618367348.

It is a self number, because there is not a number n which added to its sum of digits gives 8437638160.

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, 855819 + ... + 865621.

It is an arithmetic number, because the mean of its divisors is an integer number (147707064).

Almost surely, 2^8437638160 is an apocalyptic number.

8437638160 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 8437638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11816565120).

8437638160 is an abundant number, since it is smaller than the sum of its proper divisors (15195492080).

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

8437638160 is a wasteful number, since it uses less digits than its factorization.

8437638160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 8437638160 is about 91856.6173990747. The cubic root of 8437638160 is about 2035.8243242059.

The spelling of 8437638160 in words is "eight billion, four hundred thirty-seven million, six hundred thirty-eight thousand, one hundred sixty".