27745746314688 has 84 divisors (see below), whose sum is σ = 80421747279120. Its totient is φ = 9144665435136.

The previous prime is 27745746314653. The next prime is 27745746314707. The reversal of 27745746314688 is 88641364754772.

27745746314688 is a `hidden beast` number, since 2 + 7 + 7 + 4 + 574 + 6 + 3 + 1 + 46 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270565020 + ... + 270667547.

Almost surely, 2^{27745746314688} is an apocalyptic number.

It is an amenable number.

27745746314688 is an abundant number, since it is smaller than the sum of its proper divisors (52676000964432).

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

27745746314688 is a wasteful number, since it uses less digits than its factorization.

27745746314688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541232674 (or 541232661 counting only the distinct ones).

The product of its digits is 1517322240, while the sum is 72.

The spelling of 27745746314688 in words is "twenty-seven trillion, seven hundred forty-five billion, seven hundred forty-six million, three hundred fourteen thousand, six hundred eighty-eight".