27068314642446 has 256 divisors, whose sum is σ = 69482802585600. Its totient is φ = 6826796121600.

The previous prime is 27068314642423. The next prime is 27068314642471. The reversal of 27068314642446 is 64424641386072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 924797100 + ... + 924826368.

It is an arithmetic number, because the mean of its divisors is an integer number (271417197600).

Almost surely, 2^{27068314642446} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27068314642446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34741401292800).

27068314642446 is an abundant number, since it is smaller than the sum of its proper divisors (42414487943154).

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

27068314642446 is a wasteful number, since it uses less digits than its factorization.

27068314642446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29735.

The product of its (nonzero) digits is 37158912, while the sum is 57.

The spelling of 27068314642446 in words is "twenty-seven trillion, sixty-eight billion, three hundred fourteen million, six hundred forty-two thousand, four hundred forty-six".