27637216768 has 160 divisors (see below), whose sum is σ = 64763265600. Its totient is φ = 11777310720.

The previous prime is 27637216757. The next prime is 27637216769. The reversal of 27637216768 is 86761273672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27637216769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42323130 + ... + 42323782.

It is an arithmetic number, because the mean of its divisors is an integer number (404770410).

Almost surely, 2^27637216768 is an apocalyptic number.

27637216768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27637216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32381632800).

27637216768 is an abundant number, since it is smaller than the sum of its proper divisors (37126048832).

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

27637216768 is an frugal number, since it uses more digits than its factorization.

27637216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 903 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 55.

The spelling of 27637216768 in words is "twenty-seven billion, six hundred thirty-seven million, two hundred sixteen thousand, seven hundred sixty-eight".