27345781008 has 640 divisors, whose sum is σ = 105059942400. Its totient is φ = 6606489600.

The previous prime is 27345780991. The next prime is 27345781009. The reversal of 27345781008 is 80018754372.

27345781008 is a `hidden beast` number, since 2 + 73 + 4 + 578 + 1 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (27345781009) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 23154178 + ... + 23155358.

It is an arithmetic number, because the mean of its divisors is an integer number (164156160).

Almost surely, 2^27345781008 is an apocalyptic number.

27345781008 is a gapful number since it is divisible by the number (28) 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 27345781008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52529971200).

27345781008 is an abundant number, since it is smaller than the sum of its proper divisors (77714161392).

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

27345781008 is a wasteful number, since it uses less digits than its factorization.

27345781008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 27345781008 in words is "twenty-seven billion, three hundred forty-five million, seven hundred eighty-one thousand, eight".