6566767446240 has 480 divisors, whose sum is σ = 23543770884480. Its totient is φ = 1723432329216.

The previous prime is 6566767446223. The next prime is 6566767446259. The reversal of 6566767446240 is 426447676656.

6566767446240 is a `hidden beast` number, since 6 + 5 + 6 + 67 + 6 + 74 + 462 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6566767446240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324547164 + ... + 324567396.

It is an arithmetic number, because the mean of its divisors is an integer number (49049522676).

Almost surely, 2^{6566767446240} is an apocalyptic number.

6566767446240 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 6566767446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11771885442240).

6566767446240 is an abundant number, since it is smaller than the sum of its proper divisors (16977003438240).

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

6566767446240 is a wasteful number, since it uses less digits than its factorization.

6566767446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20656 (or 20639 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 6566767446240 in words is "six trillion, five hundred sixty-six billion, seven hundred sixty-seven million, four hundred forty-six thousand, two hundred forty".