27984448464 has 160 divisors (see below), whose sum is σ = 85941166080. Its totient is φ = 7678195200.

The previous prime is 27984448421. The next prime is 27984448487. The reversal of 27984448464 is 46484448972.

It is a junction number, because it is equal to n+sod(n) for n = 27984448398 and 27984448407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354242 + ... + 1374750.

It is an arithmetic number, because the mean of its divisors is an integer number (537132288).

Almost surely, 2^27984448464 is an apocalyptic number.

27984448464 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 27984448464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42970583040).

27984448464 is an abundant number, since it is smaller than the sum of its proper divisors (57956717616).

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

27984448464 is a wasteful number, since it uses less digits than its factorization.

27984448464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20689 (or 20683 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 60.

The spelling of 27984448464 in words is "twenty-seven billion, nine hundred eighty-four million, four hundred forty-eight thousand, four hundred sixty-four".