27442214064 has 60 divisors (see below), whose sum is σ = 80842203000. Its totient is φ = 8665961472.

The previous prime is 27442214053. The next prime is 27442214069. The reversal of 27442214064 is 46041224472.

27442214064 is a `hidden beast` number, since 27 + 4 + 4 + 221 + 406 + 4 = 666.

It is a super-2 number, since 2×27442214064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27442214069) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5012289 + ... + 5017760.

It is an arithmetic number, because the mean of its divisors is an integer number (1347370050).

Almost surely, 2^27442214064 is an apocalyptic number.

27442214064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27442214064 is an abundant number, since it is smaller than the sum of its proper divisors (53399988936).

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

27442214064 is a wasteful number, since it uses less digits than its factorization.

27442214064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030082 (or 10030073 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 27442214064 in words is "twenty-seven billion, four hundred forty-two million, two hundred fourteen thousand, sixty-four".