8144732160 has 180 divisors, whose sum is σ = 28236765648. Its totient is φ = 2171731968.

The previous prime is 8144732159. The next prime is 8144732161. The reversal of 8144732160 is 612374418.

It is an interprime number because it is at equal distance from previous prime (8144732159) and next prime (8144732161).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8144732161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731757 + ... + 742803.

Almost surely, 2^8144732160 is an apocalyptic number.

8144732160 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 8144732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14118382824).

8144732160 is an abundant number, since it is smaller than the sum of its proper divisors (20092033488).

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

8144732160 is a wasteful number, since it uses less digits than its factorization.

8144732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11086 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8144732160 is about 90248.1698429392. The cubic root of 8144732160 is about 2011.9890016486.

The spelling of 8144732160 in words is "eight billion, one hundred forty-four million, seven hundred thirty-two thousand, one hundred sixty".