8768213887689 has 81 divisors (see below), whose sum is σ = 13297509667533. Its totient is φ = 5781355897608.

The previous prime is 8768213887561. The next prime is 8768213887717. The reversal of 8768213887689 is 9867883128678.

The square root of 8768213887689 is 2961117.

It is a perfect power (a square), and thus also a powerful number.

8768213887689 is a `hidden beast` number, since 8 + 76 + 8 + 21 + 388 + 76 + 89 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 8768213887689 - 2⁷ = 8768213887561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (8768213887889) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33339216172 + ... + 33339216434.

Almost surely, 2^{8768213887689} is an apocalyptic number.

8768213887689 is the 2961117-th square number.

8768213887689 is the 1480559-th centered octagonal number.

It is an amenable number.

8768213887689 is a deficient number, since it is larger than the sum of its proper divisors (4529295779844).

8768213887689 is an frugal number, since it uses more digits than its factorization.

8768213887689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 405 counting only the distinct ones).

The product of its digits is 3121348608, while the sum is 81.

Multiplying 8768213887689 by its sum of digits (81), we get a square (710225324902809 = 26650053²).

8768213887689 divided by its sum of digits (81) gives a square (108249554169 = 329013²).

The spelling of 8768213887689 in words is "eight trillion, seven hundred sixty-eight billion, two hundred thirteen million, eight hundred eighty-seven thousand, six hundred eighty-nine".