8217968064 has 56 divisors (see below), whose sum is σ = 22444789248. Its totient is φ = 2650955520.

The previous prime is 8217968051. The next prime is 8217968069. The reversal of 8217968064 is 4608697128.

It is a junction number, because it is equal to n+sod(n) for n = 8217967998 and 8217968016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8217968069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684402 + ... + 696305.

It is an arithmetic number, because the mean of its divisors is an integer number (400799808).

Almost surely, 2^8217968064 is an apocalyptic number.

It is an amenable number.

8217968064 is an abundant number, since it is smaller than the sum of its proper divisors (14226821184).

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

8217968064 is a wasteful number, since it uses less digits than its factorization.

8217968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380753 (or 1380743 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 8217968064 is about 90653.0091282137. The cubic root of 8217968064 is about 2018.0014923490.

The spelling of 8217968064 in words is "eight billion, two hundred seventeen million, nine hundred sixty-eight thousand, sixty-four".