7144164360 has 160 divisors (see below), whose sum is σ = 24055182360. Its totient is φ = 1901712384.

The previous prime is 7144164353. The next prime is 7144164361. The reversal of 7144164360 is 634614417.

7144164360 is a `hidden beast` number, since 7 + 1 + 4 + 4 + 1 + 643 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7087282596 + 56881764 = 84186^2 + 7542^2 .

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 (7144164361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2191852 + ... + 2195108.

Almost surely, 2^7144164360 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 7144164360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12027591180).

7144164360 is an abundant number, since it is smaller than the sum of its proper divisors (16911018000).

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

7144164360 is a wasteful number, since it uses less digits than its factorization.

7144164360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7144164360 is about 84523.1587199627. The cubic root of 7144164360 is about 1925.9742623282.

Adding to 7144164360 its reverse (634614417), we get a palindrome (7778778777).

The spelling of 7144164360 in words is "seven billion, one hundred forty-four million, one hundred sixty-four thousand, three hundred sixty".