27686433468672 has 432 divisors, whose sum is σ = 90405692395200. Its totient is φ = 8071839498240.

The previous prime is 27686433468611. The next prime is 27686433468679.

27686433468672 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 6 + 433 + 46 + 86 + 72 = 666.

27686433468672 is nontrivially palindromic in base 10.

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 27686433468672.

It is not an unprimeable number, because it can be changed into a prime (27686433468679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207931654 + ... + 208064762.

It is an arithmetic number, because the mean of its divisors is an integer number (209272436100).

Almost surely, 2^{27686433468672} is an apocalyptic number.

27686433468672 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 27686433468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45202846197600).

27686433468672 is an abundant number, since it is smaller than the sum of its proper divisors (62719258926528).

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

27686433468672 is a wasteful number, since it uses less digits than its factorization.

27686433468672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133454 (or 133437 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 72.

The spelling of 27686433468672 in words is "twenty-seven trillion, six hundred eighty-six billion, four hundred thirty-three million, four hundred sixty-eight thousand, six hundred seventy-two".