27664338276 has 81 divisors (see below), whose sum is σ = 73854118611. Its totient is φ = 8730119088.

The previous prime is 27664338253. The next prime is 27664338281. The reversal of 27664338276 is 67283346672.

The square root of 27664338276 is 166326.

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

27664338276 is a `hidden beast` number, since 2 + 7 + 66 + 433 + 82 + 76 = 666.

It is a super-2 number, since 2×27664338276² (a number of 22 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 18960435 + ... + 18961893.

Almost surely, 2^27664338276 is an apocalyptic number.

27664338276 is the 166326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27664338276

27664338276 is an abundant number, since it is smaller than the sum of its proper divisors (46189780335).

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

27664338276 is a wasteful number, since it uses less digits than its factorization.

27664338276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 1483 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

It can be divided in two parts, 27664 and 338276, that added together give a triangular number (365940 = T₈₅₅).

The spelling of 27664338276 in words is "twenty-seven billion, six hundred sixty-four million, three hundred thirty-eight thousand, two hundred seventy-six".