27689612216464 has 135 divisors (see below), whose sum is σ = 60015173584051. Its totient is φ = 12366758134720.

The previous prime is 27689612216363. The next prime is 27689612216471. The reversal of 27689612216464 is 46461221698672.

The square root of 27689612216464 is 5262092.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27689612216396 and 27689612216405.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13660389819 + ... + 13660391845.

Almost surely, 2^{27689612216464} is an apocalyptic number.

27689612216464 is the 5262092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27689612216464

27689612216464 is an abundant number, since it is smaller than the sum of its proper divisors (32325561367587).

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

27689612216464 is an frugal number, since it uses more digits than its factorization.

27689612216464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 2099 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 64.

The spelling of 27689612216464 in words is "twenty-seven trillion, six hundred eighty-nine billion, six hundred twelve million, two hundred sixteen thousand, four hundred sixty-four".