5605641360 has 480 divisors, whose sum is σ = 21458376576. Its totient is φ = 1299456000.

The previous prime is 5605641359. The next prime is 5605641367. The reversal of 5605641360 is 631465065.

5605641360 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 641 + 3 + 6 + 0 = 666.

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 (5605641367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19807779 + ... + 19808061.

Almost surely, 2^5605641360 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 5605641360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10729188288).

5605641360 is an abundant number, since it is smaller than the sum of its proper divisors (15852735216).

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

5605641360 is a wasteful number, since it uses less digits than its factorization.

5605641360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5605641360 is about 74870.8311694214. The cubic root of 5605641360 is about 1776.4041112312.

The spelling of 5605641360 in words is "five billion, six hundred five million, six hundred forty-one thousand, three hundred sixty".