27006727680 has 720 divisors, whose sum is σ = 105067632384. Its totient is φ = 6387793920.

The previous prime is 27006727621. The next prime is 27006727703. The reversal of 27006727680 is 8672760072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141396385 + ... + 141396575.

Almost surely, 2^27006727680 is an apocalyptic number.

27006727680 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 27006727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52533816192).

27006727680 is an abundant number, since it is smaller than the sum of its proper divisors (78060904704).

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

27006727680 is a wasteful number, since it uses less digits than its factorization.

27006727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 27006727680 in words is "twenty-seven billion, six million, seven hundred twenty-seven thousand, six hundred eighty".