27644244672 has 168 divisors, whose sum is σ = 80550611568. Its totient is φ = 8360929280.

The previous prime is 27644244671. The next prime is 27644244701.

27644244672 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27644244671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18515158 + ... + 18516650.

It is an arithmetic number, because the mean of its divisors is an integer number (479467926).

Almost surely, 2^27644244672 is an apocalyptic number.

27644244672 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 27644244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40275305784).

27644244672 is an abundant number, since it is smaller than the sum of its proper divisors (52906366896).

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

27644244672 is a wasteful number, since it uses less digits than its factorization.

27644244672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2306 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 48.

The spelling of 27644244672 in words is "twenty-seven billion, six hundred forty-four million, two hundred forty-four thousand, six hundred seventy-two".