27624442672 has 40 divisors (see below), whose sum is σ = 56683488096. Its totient is φ = 12996811776.

The previous prime is 27624442669. The next prime is 27624442691.

27624442672 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27624442672² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1633653 + ... + 1650475.

Almost surely, 2^27624442672 is an apocalyptic number.

It is an amenable number.

27624442672 is an abundant number, since it is smaller than the sum of its proper divisors (29059045424).

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

27624442672 is a wasteful number, since it uses less digits than its factorization.

27624442672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22885 (or 22879 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 46.

The spelling of 27624442672 in words is "twenty-seven billion, six hundred twenty-four million, four hundred forty-two thousand, six hundred seventy-two".