5605508736 has 288 divisors, whose sum is σ = 17402755500. Its totient is φ = 1731330048.

The previous prime is 5605508729. The next prime is 5605508747. The reversal of 5605508736 is 6378055065.

5605508736 is a `hidden beast` number, since 5 + 60 + 550 + 8 + 7 + 36 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1465358400 + 4140150336 = 38280^2 + 64344^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5605508691 and 5605508700.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 37620790 + ... + 37620938.

Almost surely, 2^5605508736 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 5605508736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701377750).

5605508736 is an abundant number, since it is smaller than the sum of its proper divisors (11797246764).

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

5605508736 is a wasteful number, since it uses less digits than its factorization.

5605508736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5605508736 is about 74869.9454788101. The cubic root of 5605508736 is about 1776.3901017919.

The spelling of 5605508736 in words is "five billion, six hundred five million, five hundred eight thousand, seven hundred thirty-six".