5605642080 has 144 divisors (see below), whose sum is σ = 19646447184. Its totient is φ = 1454423040.

The previous prime is 5605642079. The next prime is 5605642093. The reversal of 5605642080 is 802465065.

5605642080 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 642 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 675 + ... + 105885.

It is an arithmetic number, because the mean of its divisors is an integer number (136433661).

Almost surely, 2^5605642080 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 5605642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9823223592).

5605642080 is an abundant number, since it is smaller than the sum of its proper divisors (14040805104).

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

5605642080 is a wasteful number, since it uses less digits than its factorization.

5605642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105269 (or 105258 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5605642080 is about 74870.8359777023. The cubic root of 5605642080 is about 1776.4041872862.

The spelling of 5605642080 in words is "five billion, six hundred five million, six hundred forty-two thousand, eighty".