27680440687625 has 48 divisors (see below), whose sum is σ = 38134130435856. Its totient is φ = 20044826912000.

The previous prime is 27680440687621. The next prime is 27680440687633. The reversal of 27680440687625 is 52678604408672.

It can be written as a sum of positive squares in 8 ways, for example, as 13139153291209 + 14541287396416 = 3624797^2 + 3813304^2 .

It is not a de Polignac number, because 27680440687625 - 2² = 27680440687621 is a prime.

It is a super-2 number, since 2×27680440687625² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27680440687621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403154 + ... + 7451403.

It is an arithmetic number, because the mean of its divisors is an integer number (794461050747).

Almost surely, 2^{27680440687625} is an apocalyptic number.

27680440687625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27680440687625 is a deficient number, since it is larger than the sum of its proper divisors (10453689748231).

27680440687625 is a wasteful number, since it uses less digits than its factorization.

27680440687625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854827 (or 7854806 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 65.

The spelling of 27680440687625 in words is "twenty-seven trillion, six hundred eighty billion, four hundred forty million, six hundred eighty-seven thousand, six hundred twenty-five".