223582675680 has 768 divisors, whose sum is σ = 968349634560. Its totient is φ = 46917771264.

The previous prime is 223582675627. The next prime is 223582675697. The reversal of 223582675680 is 86576285322.

It is a happy number.

223582675680 is a `hidden beast` number, since 2 + 2 + 3 + 58 + 26 + 7 + 568 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 77443197 + ... + 77446083.

It is an arithmetic number, because the mean of its divisors is an integer number (1260871920).

Almost surely, 2^223582675680 is an apocalyptic number.

223582675680 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 223582675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484174817280).

223582675680 is an abundant number, since it is smaller than the sum of its proper divisors (744766958880).

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

223582675680 is a wasteful number, since it uses less digits than its factorization.

223582675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 223582675680 in words is "two hundred twenty-three billion, five hundred eighty-two million, six hundred seventy-five thousand, six hundred eighty".