27409681656 has 144 divisors (see below), whose sum is σ = 89540334000. Its totient is φ = 7419112704.

The previous prime is 27409681603. The next prime is 27409681667. The reversal of 27409681656 is 65618690472.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 106620 + ... + 257268.

It is an arithmetic number, because the mean of its divisors is an integer number (621807875).

Almost surely, 2^27409681656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27409681656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44770167000).

27409681656 is an abundant number, since it is smaller than the sum of its proper divisors (62130652344).

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

27409681656 is a wasteful number, since it uses less digits than its factorization.

27409681656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150706 (or 150680 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 27409681656 in words is "twenty-seven billion, four hundred nine million, six hundred eighty-one thousand, six hundred fifty-six".