5605770240 has 440 divisors, whose sum is σ = 22969501632. Its totient is φ = 1280655360.

The previous prime is 5605770193. The next prime is 5605770259. The reversal of 5605770240 is 420775065.

5605770240 is a `hidden beast` number, since 5 + 60 + 577 + 0 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5605770195 and 5605770204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902075 + ... + 2904005.

Almost surely, 2^5605770240 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 5605770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11484750816).

5605770240 is an abundant number, since it is smaller than the sum of its proper divisors (17363731392).

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

5605770240 is a wasteful number, since it uses less digits than its factorization.

5605770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5605770240 is about 74871.6918467855. The cubic root of 5605770240 is about 1776.4177249697.

The spelling of 5605770240 in words is "five billion, six hundred five million, seven hundred seventy thousand, two hundred forty".