27656644665672 has 192 divisors, whose sum is σ = 83935003239360. Its totient is φ = 8152958707200.

The previous prime is 27656644665659. The next prime is 27656644665773.

It is a happy number.

27656644665672 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 66 + 446 + 6 + 56 + 72 = 666.

27656644665672 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×27656644665672³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 27656644665672.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 186680347 + ... + 186828437.

It is an arithmetic number, because the mean of its divisors is an integer number (437161475205).

Almost surely, 2^{27656644665672} is an apocalyptic number.

27656644665672 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 27656644665672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41967501619680).

27656644665672 is an abundant number, since it is smaller than the sum of its proper divisors (56278358573688).

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

27656644665672 is a wasteful number, since it uses less digits than its factorization.

27656644665672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154524 (or 154517 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 72.

The spelling of 27656644665672 in words is "twenty-seven trillion, six hundred fifty-six billion, six hundred forty-four million, six hundred sixty-five thousand, six hundred seventy-two".