27550668640 has 48 divisors (see below), whose sum is σ = 71005591440. Its totient is φ = 10018424320.

The previous prime is 27550668637. The next prime is 27550668647. The reversal of 27550668640 is 4686605572.

It is a happy number.

It is a super-3 number, since 3×27550668640³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27550668647) 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 7 ways as a sum of consecutive naturals, for example, 7825135 + ... + 7828654.

It is an arithmetic number, because the mean of its divisors is an integer number (1479283155).

Almost surely, 2^27550668640 is an apocalyptic number.

27550668640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27550668640 is an abundant number, since it is smaller than the sum of its proper divisors (43454922800).

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

27550668640 is a wasteful number, since it uses less digits than its factorization.

27550668640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15653815 (or 15653807 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 27550668640 in words is "twenty-seven billion, five hundred fifty million, six hundred sixty-eight thousand, six hundred forty".