8218075968 has 140 divisors (see below), whose sum is σ = 24578287140. Its totient is φ = 2714923008.

The previous prime is 8218075967. The next prime is 8218075991. The reversal of 8218075968 is 8695708128.

It can be written as a sum of positive squares in 2 ways, for example, as 169833024 + 8048242944 = 13032^2 + 89712^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8218075963) 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 19 ways as a sum of consecutive naturals, for example, 578778 + ... + 592806.

Almost surely, 2^8218075968 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 8218075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289143570).

8218075968 is an abundant number, since it is smaller than the sum of its proper divisors (16360211172).

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

8218075968 is a wasteful number, since it uses less digits than its factorization.

8218075968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14166 (or 14147 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 8218075968 is about 90653.6042747336. The cubic root of 8218075968 is about 2018.0103246005.

The spelling of 8218075968 in words is "eight billion, two hundred eighteen million, seventy-five thousand, nine hundred sixty-eight".