27732077420224 has 112 divisors (see below), whose sum is σ = 56964438064800. Its totient is φ = 13385170944000.

The previous prime is 27732077420219. The next prime is 27732077420227. The reversal of 27732077420224 is 42202477023772.

It is not an unprimeable number, because it can be changed into a prime (27732077420227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152661802 + ... + 152843350.

It is an arithmetic number, because the mean of its divisors is an integer number (508611054150).

Almost surely, 2^{27732077420224} 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 27732077420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28482219032400).

27732077420224 is an abundant number, since it is smaller than the sum of its proper divisors (29232360644576).

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

27732077420224 is a wasteful number, since it uses less digits than its factorization.

27732077420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182106 (or 182096 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 49.

The spelling of 27732077420224 in words is "twenty-seven trillion, seven hundred thirty-two billion, seventy-seven million, four hundred twenty thousand, two hundred twenty-four".