27706613760 has 560 divisors, whose sum is σ = 113612042016. Its totient is φ = 6327631872.

The previous prime is 27706613743. The next prime is 27706613761. The reversal of 27706613760 is 6731660772.

27706613760 is a `hidden beast` number, since 27 + 7 + 0 + 6 + 613 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27706613761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23223724 + ... + 23224916.

Almost surely, 2^27706613760 is an apocalyptic number.

27706613760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27706613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56806021008).

27706613760 is an abundant number, since it is smaller than the sum of its proper divisors (85905428256).

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

27706613760 is an equidigital number, since it uses as much as digits as its factorization.

27706613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 27706613760 in words is "twenty-seven billion, seven hundred six million, six hundred thirteen thousand, seven hundred sixty".