8727626355968 has 36 divisors (see below), whose sum is σ = 18761249691828. Its totient is φ = 4028135239680.

The previous prime is 8727626355949. The next prime is 8727626355977. The reversal of 8727626355968 is 8695536267278.

It can be written as a sum of positive squares in 2 ways, for example, as 425667514624 + 8301958841344 = 652432^2 + 2881312^2 .

It is a super-3 number, since 3×8727626355968³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8727626355895 and 8727626355904.

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 3 ways as a sum of consecutive naturals, for example, 1311238613 + ... + 1311245268.

It is an arithmetic number, because the mean of its divisors is an integer number (521145824773).

Almost surely, 2^{8727626355968} is an apocalyptic number.

It is an amenable number.

8727626355968 is an abundant number, since it is smaller than the sum of its proper divisors (10033623335860).

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

8727626355968 is a wasteful number, since it uses less digits than its factorization.

8727626355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622483910 (or 2622483896 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 74.

The spelling of 8727626355968 in words is "eight trillion, seven hundred twenty-seven billion, six hundred twenty-six million, three hundred fifty-five thousand, nine hundred sixty-eight".