5609712168 has 72 divisors (see below), whose sum is σ = 15572904750. Its totient is φ = 1824257280.

The previous prime is 5609712151. The next prime is 5609712169. The reversal of 5609712168 is 8612179065.

5609712168 is a `hidden beast` number, since 560 + 9 + 7 + 1 + 21 + 68 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1031565924 + 4578146244 = 32118^2 + 67662^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5609712169) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97858 + ... + 144206.

Almost surely, 2^5609712168 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 5609712168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786452375).

5609712168 is an abundant number, since it is smaller than the sum of its proper divisors (9963192582).

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

5609712168 is a wasteful number, since it uses less digits than its factorization.

5609712168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46443 (or 46395 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5609712168 is about 74898.0117760145. The cubic root of 5609712168 is about 1776.8340144799.

It can be divided in two parts, 56097 and 12168, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 5609712168 in words is "five billion, six hundred nine million, seven hundred twelve thousand, one hundred sixty-eight".