5806563840 has 640 divisors, whose sum is σ = 25738352640. Its totient is φ = 1205452800.

The previous prime is 5806563827. The next prime is 5806563857. The reversal of 5806563840 is 483656085.

5806563840 is a `hidden beast` number, since 5 + 8 + 0 + 6 + 5 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5321695 + ... + 5322785.

It is an arithmetic number, because the mean of its divisors is an integer number (40216176).

Almost surely, 2^5806563840 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 5806563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869176320).

5806563840 is an abundant number, since it is smaller than the sum of its proper divisors (19931788800).

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

5806563840 is a wasteful number, since it uses less digits than its factorization.

5806563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5806563840 is about 76200.8125940925. The cubic root of 5806563840 is about 1797.3792973616.

The spelling of 5806563840 in words is "five billion, eight hundred six million, five hundred sixty-three thousand, eight hundred forty".