27449252064 has 288 divisors, whose sum is σ = 88023656448. Its totient is φ = 8055936000.

The previous prime is 27449252027. The next prime is 27449252069. The reversal of 27449252064 is 46025294472.

27449252064 is a `hidden beast` number, since 27 + 4 + 49 + 2 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×27449252064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27449252069) 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, 8238879 + ... + 8242209.

It is an arithmetic number, because the mean of its divisors is an integer number (305637696).

Almost surely, 2^27449252064 is an apocalyptic number.

27449252064 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 27449252064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44011828224).

27449252064 is an abundant number, since it is smaller than the sum of its proper divisors (60574404384).

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

27449252064 is a wasteful number, since it uses less digits than its factorization.

27449252064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 27449252064 in words is "twenty-seven billion, four hundred forty-nine million, two hundred fifty-two thousand, sixty-four".