27406641040680 has 128 divisors (see below), whose sum is σ = 89695712102400. Its totient is φ = 6643941561600.

The previous prime is 27406641040679. The next prime is 27406641040711. The reversal of 27406641040680 is 8604014660472.

It is a super-3 number, since 3×27406641040680³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172987341 + ... + 173145699.

It is an arithmetic number, because the mean of its divisors is an integer number (700747750800).

Almost surely, 2^{27406641040680} is an apocalyptic number.

27406641040680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27406641040680 is an abundant number, since it is smaller than the sum of its proper divisors (62289071061720).

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

27406641040680 is a wasteful number, since it uses less digits than its factorization.

27406641040680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289495 (or 289491 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 27406641040680 in words is "twenty-seven trillion, four hundred six billion, six hundred forty-one million, forty thousand, six hundred eighty".