27846479232 has 480 divisors, whose sum is σ = 95671430400. Its totient is φ = 7727892480.

The previous prime is 27846479197. The next prime is 27846479233. The reversal of 27846479232 is 23297464872.

It is a super-4 number, since 4×27846479232⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27846479233) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 219263553 + ... + 219263679.

It is an arithmetic number, because the mean of its divisors is an integer number (199315480).

Almost surely, 2^27846479232 is an apocalyptic number.

27846479232 is a gapful number since it is divisible by the number (22) 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 27846479232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47835715200).

27846479232 is an abundant number, since it is smaller than the sum of its proper divisors (67824951168).

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

27846479232 is a wasteful number, since it uses less digits than its factorization.

27846479232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 156 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 27846479232 in words is "twenty-seven billion, eight hundred forty-six million, four hundred seventy-nine thousand, two hundred thirty-two".