6566524416 has 320 divisors, whose sum is σ = 20211206400. Its totient is φ = 2103902208.

The previous prime is 6566524399. The next prime is 6566524417. The reversal of 6566524416 is 6144256656.

6566524416 is a `hidden beast` number, since 65 + 66 + 524 + 4 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6566524417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67696080 + ... + 67696176.

It is an arithmetic number, because the mean of its divisors is an integer number (63160020).

Almost surely, 2^6566524416 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 6566524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105603200).

6566524416 is an abundant number, since it is smaller than the sum of its proper divisors (13644681984).

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

6566524416 is an equidigital number, since it uses as much as digits as its factorization.

6566524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 6566524416 is about 81034.0941579530. The cubic root of 6566524416 is about 1872.6007276520.

The spelling of 6566524416 in words is "six billion, five hundred sixty-six million, five hundred twenty-four thousand, four hundred sixteen".