5605637760 has 384 divisors, whose sum is σ = 19960012800. Its totient is φ = 1449197568.

The previous prime is 5605637753. The next prime is 5605637777. The reversal of 5605637760 is 677365065.

5605637760 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 637 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44138817 + ... + 44138943.

It is an arithmetic number, because the mean of its divisors is an integer number (51979200).

Almost surely, 2^5605637760 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 5605637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980006400).

5605637760 is an abundant number, since it is smaller than the sum of its proper divisors (14354375040).

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

5605637760 is a wasteful number, since it uses less digits than its factorization.

5605637760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 5605637760 is about 74870.8071280122. The cubic root of 5605637760 is about 1776.4037309562.

The spelling of 5605637760 in words is "five billion, six hundred five million, six hundred thirty-seven thousand, seven hundred sixty".