27448049664 has 320 divisors, whose sum is σ = 93281232000. Its totient is φ = 7813988352.

The previous prime is 27448049653. The next prime is 27448049701. The reversal of 27448049664 is 46694084472.

27448049664 is a `hidden beast` number, since 2 + 74 + 4 + 80 + 496 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27448049664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99090294 + ... + 99090570.

It is an arithmetic number, because the mean of its divisors is an integer number (291503850).

Almost surely, 2^27448049664 is an apocalyptic number.

27448049664 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 27448049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46640616000).

27448049664 is an abundant number, since it is smaller than the sum of its proper divisors (65833182336).

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

27448049664 is an frugal number, since it uses more digits than its factorization.

27448049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 27448049664 in words is "twenty-seven billion, four hundred forty-eight million, forty-nine thousand, six hundred sixty-four".