27324291456 has 768 divisors, whose sum is σ = 104484556800. Its totient is φ = 6644183040.

The previous prime is 27324291443. The next prime is 27324291481. The reversal of 27324291456 is 65419242372.

27324291456 is a `hidden beast` number, since 2 + 73 + 2 + 42 + 91 + 456 = 666.

It is a super-3 number, since 3×27324291456³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120371215 + ... + 120371441.

It is an arithmetic number, because the mean of its divisors is an integer number (136047600).

Almost surely, 2^27324291456 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 27324291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52242278400).

27324291456 is an abundant number, since it is smaller than the sum of its proper divisors (77160265344).

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

27324291456 is a wasteful number, since it uses less digits than its factorization.

27324291456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 27324291456 in words is "twenty-seven billion, three hundred twenty-four million, two hundred ninety-one thousand, four hundred fifty-six".