8217196416 has 384 divisors, whose sum is σ = 28670976000. Its totient is φ = 2296719360.

The previous prime is 8217196411. The next prime is 8217196417. The reversal of 8217196416 is 6146917128.

8217196416 is a `hidden beast` number, since 8 + 217 + 19 + 6 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8217196411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6424065 + ... + 6425343.

It is an arithmetic number, because the mean of its divisors is an integer number (74664000).

Almost surely, 2^8217196416 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 8217196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335488000).

8217196416 is an abundant number, since it is smaller than the sum of its proper divisors (20453779584).

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

8217196416 is a wasteful number, since it uses less digits than its factorization.

8217196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1308 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 8217196416 is about 90648.7529754271. The cubic root of 8217196416 is about 2017.9383284970.

The spelling of 8217196416 in words is "eight billion, two hundred seventeen million, one hundred ninety-six thousand, four hundred sixteen".