27605063375664 has 640 divisors, whose sum is σ = 83716241817600. Its totient is φ = 7785022586880.

The previous prime is 27605063375651. The next prime is 27605063375683. The reversal of 27605063375664 is 46657336050672.

It is a junction number, because it is equal to n+sod(n) for n = 27605063375598 and 27605063375607.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2849108932 + ... + 2849118620.

It is an arithmetic number, because the mean of its divisors is an integer number (130806627840).

Almost surely, 2^{27605063375664} is an apocalyptic number.

27605063375664 is a gapful number since it is divisible by the number (24) 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 27605063375664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41858120908800).

27605063375664 is an abundant number, since it is smaller than the sum of its proper divisors (56111178441936).

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

27605063375664 is a wasteful number, since it uses less digits than its factorization.

27605063375664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9913 (or 9907 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 60.

The spelling of 27605063375664 in words is "twenty-seven trillion, six hundred five billion, sixty-three million, three hundred seventy-five thousand, six hundred sixty-four".