6585564240 has 240 divisors, whose sum is σ = 23252261760. Its totient is φ = 1667128320.

The previous prime is 6585564229. The next prime is 6585564253. The reversal of 6585564240 is 424655856.

6585564240 is a `hidden beast` number, since 6 + 5 + 85 + 564 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 2300410 + ... + 2303270.

It is an arithmetic number, because the mean of its divisors is an integer number (96884424).

Almost surely, 2^6585564240 is an apocalyptic number.

6585564240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6585564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11626130880).

6585564240 is an abundant number, since it is smaller than the sum of its proper divisors (16666697520).

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

6585564240 is a wasteful number, since it uses less digits than its factorization.

6585564240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 6585564240 is about 81151.4894502867. The cubic root of 6585564240 is about 1874.4088675195.

The spelling of 6585564240 in words is "six billion, five hundred eighty-five million, five hundred sixty-four thousand, two hundred forty".