27724487431680 has 640 divisors, whose sum is σ = 106588677888000. Its totient is φ = 6790151503872.

The previous prime is 27724487431673. The next prime is 27724487431727. The reversal of 27724487431680 is 8613478442772.

27724487431680 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 44 + 87 + 431 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178735917 + ... + 178890963.

It is an arithmetic number, because the mean of its divisors is an integer number (166544809200).

Almost surely, 2^{27724487431680} is an apocalyptic number.

27724487431680 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 27724487431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53294338944000).

27724487431680 is an abundant number, since it is smaller than the sum of its proper divisors (78864190456320).

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

27724487431680 is a wasteful number, since it uses less digits than its factorization.

27724487431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155291 (or 155269 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 27724487431680 in words is "twenty-seven trillion, seven hundred twenty-four billion, four hundred eighty-seven million, four hundred thirty-one thousand, six hundred eighty".