27627633924760 has 32 divisors (see below), whose sum is σ = 65433869823600. Its totient is φ = 10469419171200.

The previous prime is 27627633924707. The next prime is 27627633924773. The reversal of 27627633924760 is 6742933672672.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27627633924692 and 27627633924701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18176074191 + ... + 18176075710.

Almost surely, 2^{27627633924760} is an apocalyptic number.

27627633924760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27627633924760 is an abundant number, since it is smaller than the sum of its proper divisors (37806235898840).

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

27627633924760 is a wasteful number, since it uses less digits than its factorization.

27627633924760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36352149931 (or 36352149927 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 64.

The spelling of 27627633924760 in words is "twenty-seven trillion, six hundred twenty-seven billion, six hundred thirty-three million, nine hundred twenty-four thousand, seven hundred sixty".