27674910004896 has 1920 divisors, whose sum is σ = 110725243453440. Its totient is φ = 6562595635200.

The previous prime is 27674910004883. The next prime is 27674910005003. The reversal of 27674910004896 is 69840001947672.

27674910004896 is a `hidden beast` number, since 2 + 7 + 6 + 7 + 49 + 100 + 0 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 319 ways as a sum of consecutive naturals, for example, 46669325176 + ... + 46669325768.

It is an arithmetic number, because the mean of its divisors is an integer number (57669397632).

Almost surely, 2^{27674910004896} 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 27674910004896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55362621726720).

27674910004896 is an abundant number, since it is smaller than the sum of its proper divisors (83050333448544).

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

27674910004896 is a wasteful number, since it uses less digits than its factorization.

27674910004896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 27674910004896 in words is "twenty-seven trillion, six hundred seventy-four billion, nine hundred ten million, four thousand, eight hundred ninety-six".