27768713632 has 24 divisors (see below), whose sum is σ = 59639624352. Its totient is φ = 12622142400.

The previous prime is 27768713587. The next prime is 27768713633. The reversal of 27768713632 is 23631786772.

It is a happy number.

It is a super-2 number, since 2×27768713632² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27768713632.

It is not an unprimeable number, because it can be changed into a prime (27768713633) 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 3 ways as a sum of consecutive naturals, for example, 39443844 + ... + 39444547.

It is an arithmetic number, because the mean of its divisors is an integer number (2484984348).

Almost surely, 2^27768713632 is an apocalyptic number.

27768713632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27768713632 is an abundant number, since it is smaller than the sum of its proper divisors (31870910720).

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

27768713632 is a wasteful number, since it uses less digits than its factorization.

27768713632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78888412 (or 78888404 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 52.

The spelling of 27768713632 in words is "twenty-seven billion, seven hundred sixty-eight million, seven hundred thirteen thousand, six hundred thirty-two".