8695445968 has 80 divisors (see below), whose sum is σ = 18863792640. Its totient is φ = 3848601600.

The previous prime is 8695445963. The next prime is 8695445971.

8695445968 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8695445968² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8695445963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5548321 + ... + 5549887.

It is an arithmetic number, because the mean of its divisors is an integer number (235797408).

Almost surely, 2^8695445968 is an apocalyptic number.

8695445968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8695445968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9431896320).

8695445968 is an abundant number, since it is smaller than the sum of its proper divisors (10168346672).

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

8695445968 is a wasteful number, since it uses less digits than its factorization.

8695445968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2390 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 64.

The square root of 8695445968 is about 93249.3751614455. The cubic root of 8695445968 is about 2056.3511905955.

The spelling of 8695445968 in words is "eight billion, six hundred ninety-five million, four hundred forty-five thousand, nine hundred sixty-eight".