27680187313440 has 192 divisors, whose sum is σ = 99243599051520. Its totient is φ = 7201349498880.

The previous prime is 27680187313423. The next prime is 27680187313463. The reversal of 27680187313440 is 4431378108672.

27680187313440 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 0 + 187 + 3 + 13 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77962524 + ... + 78316763.

It is an arithmetic number, because the mean of its divisors is an integer number (516893745060).

Almost surely, 2^{27680187313440} is an apocalyptic number.

27680187313440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27680187313440 is an abundant number, since it is smaller than the sum of its proper divisors (71563411738080).

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

27680187313440 is a wasteful number, since it uses less digits than its factorization.

27680187313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156279352 (or 156279338 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 27680187313440 in words is "twenty-seven trillion, six hundred eighty billion, one hundred eighty-seven million, three hundred thirteen thousand, four hundred forty".