27628626816 has 96 divisors (see below), whose sum is σ = 90862028400. Its totient is φ = 7893891072.

The previous prime is 27628626737. The next prime is 27628626821. The reversal of 27628626816 is 61862682672.

27628626816 is a `hidden beast` number, since 2 + 7 + 6 + 2 + 8 + 626 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1705021 + ... + 1721148.

Almost surely, 2^27628626816 is an apocalyptic number.

It is an amenable number.

27628626816 is an abundant number, since it is smaller than the sum of its proper divisors (63233401584).

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

27628626816 is a wasteful number, since it uses less digits than its factorization.

27628626816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426196 (or 3426181 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 27628626816 in words is "twenty-seven billion, six hundred twenty-eight million, six hundred twenty-six thousand, eight hundred sixteen".