8217427968 has 266 divisors, whose sum is σ = 25214010404. Its totient is φ = 2675441664.

The previous prime is 8217427963. The next prime is 8217427969. The reversal of 8217427968 is 8697247128.

It is a happy number.

It is a super-2 number, since 2×8217427968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2709504) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (8217427963) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 191102955 + ... + 191102997.

Almost surely, 2^8217427968 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 8217427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607005202).

8217427968 is an abundant number, since it is smaller than the sum of its proper divisors (16996582436).

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

8217427968 is an frugal number, since it uses more digits than its factorization.

8217427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 8217427968 is about 90650.0301599509. The cubic root of 8217427968 is about 2017.9572827828.

The spelling of 8217427968 in words is "eight billion, two hundred seventeen million, four hundred twenty-seven thousand, nine hundred sixty-eight".