6566987520 has 432 divisors, whose sum is σ = 24159687552. Its totient is φ = 1706987520.

The previous prime is 6566987491. The next prime is 6566987527. The reversal of 6566987520 is 257896656.

It is a happy number.

6566987520 is a `hidden beast` number, since 6 + 56 + 69 + 8 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6566987527) 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 47 ways as a sum of consecutive naturals, for example, 13374475 + ... + 13374965.

Almost surely, 2^6566987520 is an apocalyptic number.

6566987520 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 6566987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079843776).

6566987520 is an abundant number, since it is smaller than the sum of its proper divisors (17592700032).

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

6566987520 is an equidigital number, since it uses as much as digits as its factorization.

6566987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 6566987520 is about 81036.9515714899. The cubic root of 6566987520 is about 1872.6447483265.

The spelling of 6566987520 in words is "six billion, five hundred sixty-six million, nine hundred eighty-seven thousand, five hundred twenty".