5807746560 has 960 divisors, whose sum is σ = 24988829184. Its totient is φ = 1135411200.

The previous prime is 5807746547. The next prime is 5807746573. The reversal of 5807746560 is 656477085.

It is an interprime number because it is at equal distance from previous prime (5807746547) and next prime (5807746573).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 95208930 + ... + 95208990.

Almost surely, 2^5807746560 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 5807746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12494414592).

5807746560 is an abundant number, since it is smaller than the sum of its proper divisors (19181082624).

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

5807746560 is a wasteful number, since it uses less digits than its factorization.

5807746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 5807746560 is about 76208.5727461156. The cubic root of 5807746560 is about 1797.5013231807.

The spelling of 5807746560 in words is "five billion, eight hundred seven million, seven hundred forty-six thousand, five hundred sixty".