27745786656 has 720 divisors, whose sum is σ = 101779856640. Its totient is φ = 7407106560.

The previous prime is 27745786639. The next prime is 27745786657. The reversal of 27745786656 is 65668754772.

27745786656 is a `hidden beast` number, since 2 + 7 + 7 + 4 + 578 + 6 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (118540800) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 27745786593 and 27745786602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27745786657) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 895025361 + ... + 895025391.

It is an arithmetic number, because the mean of its divisors is an integer number (141360912).

Almost surely, 2^27745786656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27745786656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889928320).

27745786656 is an abundant number, since it is smaller than the sum of its proper divisors (74034069984).

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

27745786656 is an frugal number, since it uses more digits than its factorization.

27745786656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 27745786656 in words is "twenty-seven billion, seven hundred forty-five million, seven hundred eighty-six thousand, six hundred fifty-six".