8663566890240 has 216 divisors, whose sum is σ = 30077354590920. Its totient is φ = 2302398676992.

The previous prime is 8663566890233. The next prime is 8663566890247. The reversal of 8663566890240 is 420986653668.

8663566890240 is a `hidden beast` number, since 8 + 6 + 63 + 566 + 8 + 9 + 0 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8663566890233) and next prime (8663566890247).

It can be written as a sum of positive squares in 4 ways, for example, as 1250711195904 + 7412855694336 = 1118352^2 + 2722656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8663566890247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2092006 + ... + 4658714.

It is an arithmetic number, because the mean of its divisors is an integer number (139247011995).

Almost surely, 2^{8663566890240} is an apocalyptic number.

8663566890240 is a gapful number since it is divisible by the number (80) 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 8663566890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038677295460).

8663566890240 is an abundant number, since it is smaller than the sum of its proper divisors (21413787700680).

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

8663566890240 is a wasteful number, since it uses less digits than its factorization.

8663566890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567029 (or 2567012 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 8663566890240 in words is "eight trillion, six hundred sixty-three billion, five hundred sixty-six million, eight hundred ninety thousand, two hundred forty".