27464349312 has 384 divisors, whose sum is σ = 88139750400. Its totient is φ = 8174960640.

The previous prime is 27464349259. The next prime is 27464349317. The reversal of 27464349312 is 21394346472.

27464349312 is a `hidden beast` number, since 274 + 6 + 4 + 349 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (27464349317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23819328 + ... + 23820480.

It is an arithmetic number, because the mean of its divisors is an integer number (229530600).

Almost surely, 2^27464349312 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 27464349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44069875200).

27464349312 is an abundant number, since it is smaller than the sum of its proper divisors (60675401088).

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

27464349312 is a wasteful number, since it uses less digits than its factorization.

27464349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1241 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 27464349312 in words is "twenty-seven billion, four hundred sixty-four million, three hundred forty-nine thousand, three hundred twelve".