27432108480 has 448 divisors, whose sum is σ = 106409825280. Its totient is φ = 5844566016.

The previous prime is 27432108467. The next prime is 27432108481. The reversal of 27432108480 is 8480123472.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27432108481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12451059 + ... + 12453261.

Almost surely, 2^27432108480 is an apocalyptic number.

27432108480 is a gapful number since it is divisible by the number (20) 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 27432108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53204912640).

27432108480 is an abundant number, since it is smaller than the sum of its proper divisors (78977716800).

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

27432108480 is a wasteful number, since it uses less digits than its factorization.

27432108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 27432108480 in words is "twenty-seven billion, four hundred thirty-two million, one hundred eight thousand, four hundred eighty".