27326672980992 has 3168 divisors, whose sum is σ = 113007401233920. Its totient is φ = 6331480473600.

The previous prime is 27326672980979. The next prime is 27326672981057. The reversal of 27326672980992 is 29908927662372.

27326672980992 is a `hidden beast` number, since 2 + 7 + 326 + 6 + 7 + 298 + 0 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 27326672980992.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 738558729198 + ... + 738558729234.

Almost surely, 2^{27326672980992} is an apocalyptic number.

27326672980992 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 27326672980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56503700616960).

27326672980992 is an abundant number, since it is smaller than the sum of its proper divisors (85680728252928).

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

27326672980992 is a wasteful number, since it uses less digits than its factorization.

27326672980992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 27326672980992 in words is "twenty-seven trillion, three hundred twenty-six billion, six hundred seventy-two million, nine hundred eighty thousand, nine hundred ninety-two".