8217668090880 has 528 divisors, whose sum is σ = 31265655613920. Its totient is φ = 2062468251648.

The previous prime is 8217668090869. The next prime is 8217668090881. The reversal of 8217668090880 is 880908667128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8217668090881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20956456 + ... + 21344984.

Almost surely, 2^{8217668090880} is an apocalyptic number.

8217668090880 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 8217668090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15632827806960).

8217668090880 is an abundant number, since it is smaller than the sum of its proper divisors (23047987523040).

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

8217668090880 is a wasteful number, since it uses less digits than its factorization.

8217668090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388586 (or 388556 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 8217668090880 in words is "eight trillion, two hundred seventeen billion, six hundred sixty-eight million, ninety thousand, eight hundred eighty".