8217942336 has 84 divisors (see below), whose sum is σ = 23586998292. Its totient is φ = 2735622144.

The previous prime is 8217942329. The next prime is 8217942347. The reversal of 8217942336 is 6332497128.

8217942336 is a `hidden beast` number, since 8 + 217 + 9 + 423 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2968070400 + 5249871936 = 54480^2 + 72456^2 .

It is a super-2 number, since 2×8217942336² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8217942291 and 8217942300.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 436020 + ... + 454476.

Almost surely, 2^8217942336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8217942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793499146).

8217942336 is an abundant number, since it is smaller than the sum of its proper divisors (15369055956).

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

8217942336 is a wasteful number, since it uses less digits than its factorization.

8217942336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19248 (or 19235 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 8217942336 is about 90652.8672243741. The cubic root of 8217942336 is about 2017.9993864272. Note that the first 3 decimals are identical.

The spelling of 8217942336 in words is "eight billion, two hundred seventeen million, nine hundred forty-two thousand, three hundred thirty-six".