27364433446372 has 144 divisors (see below), whose sum is σ = 53603104060800. Its totient is φ = 12212681958400.

The previous prime is 27364433446213. The next prime is 27364433446397.

27364433446372 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2633469297 + ... + 2633479687.

It is an arithmetic number, because the mean of its divisors is an integer number (372243778200).

Almost surely, 2^{27364433446372} is an apocalyptic number.

27364433446372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27364433446372 is a deficient number, since it is larger than the sum of its proper divisors (26238670614428).

27364433446372 is a wasteful number, since it uses less digits than its factorization.

27364433446372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10978 (or 10965 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 58.

The spelling of 27364433446372 in words is "twenty-seven trillion, three hundred sixty-four billion, four hundred thirty-three million, four hundred forty-six thousand, three hundred seventy-two".