27840036614560 has 96 divisors (see below), whose sum is σ = 66390074416512. Its totient is φ = 11031392117760.

The previous prime is 27840036614549. The next prime is 27840036614569. The reversal of 27840036614560 is 6541663004872.

It is a junction number, because it is equal to n+sod(n) for n = 27840036614498 and 27840036614507.

It is not an unprimeable number, because it can be changed into a prime (27840036614569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661718325 + ... + 661760395.

It is an arithmetic number, because the mean of its divisors is an integer number (691563275172).

Almost surely, 2^{27840036614560} is an apocalyptic number.

27840036614560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27840036614560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33195037208256).

27840036614560 is an abundant number, since it is smaller than the sum of its proper divisors (38550037801952).

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

27840036614560 is a wasteful number, since it uses less digits than its factorization.

27840036614560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80846 (or 80838 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 27840036614560 in words is "twenty-seven trillion, eight hundred forty billion, thirty-six million, six hundred fourteen thousand, five hundred sixty".