27564964729 has 3 divisors (see below), whose sum is σ = 27565130757. Its totient is φ = 27564798702.

The previous prime is 27564964711. The next prime is 27564964759. The reversal of 27564964729 is 92746946572.

It is a happy number.

The square root of 27564964729 is 166027.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 27564964729 - 2¹⁷ = 27564833657 is a prime.

It is a super-2 number, since 2×27564964729² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27564964759) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 83014 + ... + 249040.

It is an arithmetic number, because the mean of its divisors is an integer number (9188376919).

Almost surely, 2^27564964729 is an apocalyptic number.

27564964729 is the 166027-th square number.

27564964729 is the 83014-th centered octagonal number.

It is an amenable number.

27564964729 is a deficient number, since it is larger than the sum of its proper divisors (166028).

27564964729 is an frugal number, since it uses more digits than its factorization.

27564964729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332054 (or 166027 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 61.

The spelling of 27564964729 in words is "twenty-seven billion, five hundred sixty-four million, nine hundred sixty-four thousand, seven hundred twenty-nine".