27841409064 has 96 divisors (see below), whose sum is σ = 86562577920. Its totient is φ = 7918985088.

The previous prime is 27841409059. The next prime is 27841409077. The reversal of 27841409064 is 46090414872.

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 23 ways as a sum of consecutive naturals, for example, 11467 + ... + 236250.

It is an arithmetic number, because the mean of its divisors is an integer number (901693520).

Almost surely, 2^27841409064 is an apocalyptic number.

27841409064 is a gapful number since it is divisible by the number (24) 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 27841409064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43281288960).

27841409064 is an abundant number, since it is smaller than the sum of its proper divisors (58721168856).

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

27841409064 is a wasteful number, since it uses less digits than its factorization.

27841409064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247959 (or 247952 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27841409064 in words is "twenty-seven billion, eight hundred forty-one million, four hundred nine thousand, sixty-four".