226579783680 has 560 divisors, whose sum is σ = 838864122624. Its totient is φ = 58445660160.

The previous prime is 226579783657. The next prime is 226579783691. The reversal of 226579783680 is 86387975622.

226579783680 is a `hidden beast` number, since 2 + 26 + 579 + 7 + 8 + 36 + 8 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 102849459 + ... + 102851661.

Almost surely, 2^226579783680 is an apocalyptic number.

226579783680 is a gapful number since it is divisible by the number (20) 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 226579783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419432061312).

226579783680 is an abundant number, since it is smaller than the sum of its proper divisors (612284338944).

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

226579783680 is an equidigital number, since it uses as much as digits as its factorization.

226579783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 226579783680 in words is "two hundred twenty-six billion, five hundred seventy-nine million, seven hundred eighty-three thousand, six hundred eighty".