27686297664 has 105 divisors (see below), whose sum is σ = 82106388111. Its totient is φ = 9224772480.

The previous prime is 27686297657. The next prime is 27686297669. The reversal of 27686297664 is 46679268672.

The square root of 27686297664 is 166392.

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

It is a super-2 number, since 2×27686297664² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27686297669) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11979069 + ... + 11981379.

Almost surely, 2^27686297664 is an apocalyptic number.

27686297664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27686297664 is the 166392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27686297664

27686297664 is an abundant number, since it is smaller than the sum of its proper divisors (54420090447).

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

27686297664 is an frugal number, since it uses more digits than its factorization.

27686297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 2316 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 27686297664 in words is "twenty-seven billion, six hundred eighty-six million, two hundred ninety-seven thousand, six hundred sixty-four".