6566248800 has 396 divisors, whose sum is σ = 24217629660. Its totient is φ = 1738402560.

The previous prime is 6566248783. The next prime is 6566248879. The reversal of 6566248800 is 88426656.

6566248800 is a `hidden beast` number, since 6 + 566 + 2 + 4 + 8 + 80 + 0 = 666.

It is a super-3 number, since 3×6566248800³ (a number of 30 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 47239131 + ... + 47239269.

Almost surely, 2^6566248800 is an apocalyptic number.

6566248800 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 6566248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108814830).

6566248800 is an abundant number, since it is smaller than the sum of its proper divisors (17651380860).

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

6566248800 is an equidigital number, since it uses as much as digits as its factorization.

6566248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6566248800 is about 81032.3935225907. The cubic root of 6566248800 is about 1872.5745277980.

The spelling of 6566248800 in words is "six billion, five hundred sixty-six million, two hundred forty-eight thousand, eight hundred".