27849939264 has 224 divisors, whose sum is σ = 93728194560. Its totient is φ = 7943671296.

The previous prime is 27849939233. The next prime is 27849939281. The reversal of 27849939264 is 46293994872.

27849939264 is a `hidden beast` number, since 27 + 84 + 99 + 392 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 8792209 + ... + 8795375.

It is an arithmetic number, because the mean of its divisors is an integer number (418429440).

Almost surely, 2^27849939264 is an apocalyptic number.

27849939264 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 27849939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46864097280).

27849939264 is an abundant number, since it is smaller than the sum of its proper divisors (65878255296).

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

27849939264 is a wasteful number, since it uses less digits than its factorization.

27849939264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3906 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 27849939264 in words is "twenty-seven billion, eight hundred forty-nine million, nine hundred thirty-nine thousand, two hundred sixty-four".