27378606003840 has 6144 divisors, whose sum is σ = 138579517440000. Its totient is φ = 4809679699968.

The previous prime is 27378606003809. The next prime is 27378606003851. The reversal of 27378606003840 is 4830060687372.

27378606003840 is a `hidden beast` number, since 27 + 3 + 7 + 8 + 6 + 0 + 600 + 3 + 8 + 4 + 0 = 666.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 307624786516 + ... + 307624786604.

It is an arithmetic number, because the mean of its divisors is an integer number (22555260000).

Almost surely, 2^{27378606003840} is an apocalyptic number.

27378606003840 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 27378606003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69289758720000).

27378606003840 is an abundant number, since it is smaller than the sum of its proper divisors (111200911436160).

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

27378606003840 is a wasteful number, since it uses less digits than its factorization.

27378606003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 27378606003840 in words is "twenty-seven trillion, three hundred seventy-eight billion, six hundred six million, three thousand, eight hundred forty".