6563865305340 has 336 divisors, whose sum is σ = 24195201670080. Its totient is φ = 1463718159360.

The previous prime is 6563865305267. The next prime is 6563865305363. The reversal of 6563865305340 is 435035683656.

6563865305340 is a `hidden beast` number, since 6 + 5 + 63 + 8 + 6 + 530 + 5 + 3 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3400146 + ... + 4968774.

It is an arithmetic number, because the mean of its divisors is an integer number (72009528780).

Almost surely, 2^{6563865305340} is an apocalyptic number.

6563865305340 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 6563865305340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097600835040).

6563865305340 is an abundant number, since it is smaller than the sum of its proper divisors (17631336364740).

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

6563865305340 is a wasteful number, since it uses less digits than its factorization.

6563865305340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568704 (or 1568687 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 6563865305340 in words is "six trillion, five hundred sixty-three billion, eight hundred sixty-five million, three hundred five thousand, three hundred forty".