5807561760 has 1536 divisors, whose sum is σ = 29262643200. Its totient is φ = 1035141120.

The previous prime is 5807561759. The next prime is 5807561789. The reversal of 5807561760 is 671657085.

5807561760 is a `hidden beast` number, since 5 + 80 + 7 + 561 + 7 + 6 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 73513401 + ... + 73513479.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^5807561760 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 5807561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14631321600).

5807561760 is an abundant number, since it is smaller than the sum of its proper divisors (23455081440).

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

5807561760 is a wasteful number, since it uses less digits than its factorization.

5807561760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5807561760 is about 76207.3602744512. The cubic root of 5807561760 is about 1797.4822577386.

The spelling of 5807561760 in words is "five billion, eight hundred seven million, five hundred sixty-one thousand, seven hundred sixty".