27845433776608 has 96 divisors (see below), whose sum is σ = 63682699046400. Its totient is φ = 11737497576960.

The previous prime is 27845433776579. The next prime is 27845433776639. The reversal of 27845433776608 is 80667733454872.

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 15 ways as a sum of consecutive naturals, for example, 330667693 + ... + 330751891.

It is an arithmetic number, because the mean of its divisors is an integer number (663361448400).

Almost surely, 2^{27845433776608} is an apocalyptic number.

27845433776608 is a gapful number since it is divisible by the number (28) 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 27845433776608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31841349523200).

27845433776608 is an abundant number, since it is smaller than the sum of its proper divisors (35837265269792).

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

27845433776608 is a wasteful number, since it uses less digits than its factorization.

27845433776608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108480 (or 108472 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 70.

The spelling of 27845433776608 in words is "twenty-seven trillion, eight hundred forty-five billion, four hundred thirty-three million, seven hundred seventy-six thousand, six hundred eight".