27648084672 has 224 divisors, whose sum is σ = 87891518400. Its totient is φ = 8472231936.

The previous prime is 27648084671. The next prime is 27648084679.

It is a happy number.

27648084672 is a `hidden beast` number, since 27 + 6 + 480 + 84 + 67 + 2 = 666.

27648084672 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (27648084671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5770854 + ... + 5775642.

It is an arithmetic number, because the mean of its divisors is an integer number (392372850).

Almost surely, 2^27648084672 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 27648084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43945759200).

27648084672 is an abundant number, since it is smaller than the sum of its proper divisors (60243433728).

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

27648084672 is a wasteful number, since it uses less digits than its factorization.

27648084672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 27648084672 in words is "twenty-seven billion, six hundred forty-eight million, eighty-four thousand, six hundred seventy-two".