27733633772 has 96 divisors (see below), whose sum is σ = 56102989824. Its totient is φ = 11895206400.

The previous prime is 27733633747. The next prime is 27733633817.

27733633772 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27733633772.

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 31 ways as a sum of consecutive naturals, for example, 13287713 + ... + 13289799.

It is an arithmetic number, because the mean of its divisors is an integer number (584406144).

Almost surely, 2^27733633772 is an apocalyptic number.

It is an amenable number.

27733633772 is an abundant number, since it is smaller than the sum of its proper divisors (28369356052).

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

27733633772 is a wasteful number, since it uses less digits than its factorization.

27733633772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2437 counting only the distinct ones).

The product of its digits is 4667544, while the sum is 50.

The spelling of 27733633772 in words is "twenty-seven billion, seven hundred thirty-three million, six hundred thirty-three thousand, seven hundred seventy-two".