27756341406 has 96 divisors (see below), whose sum is σ = 64790668800. Its totient is φ = 8561609280.

The previous prime is 27756341383. The next prime is 27756341411. The reversal of 27756341406 is 60414365772.

27756341406 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 634 + 1 + 4 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2641495 + ... + 2651981.

It is an arithmetic number, because the mean of its divisors is an integer number (674902800).

Almost surely, 2^27756341406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27756341406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32395334400).

27756341406 is an abundant number, since it is smaller than the sum of its proper divisors (37034327394).

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

27756341406 is a wasteful number, since it uses less digits than its factorization.

27756341406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 27756341406 in words is "twenty-seven billion, seven hundred fifty-six million, three hundred forty-one thousand, four hundred six".