27449319093632 has 256 divisors, whose sum is σ = 60109876224000. Its totient is φ = 12435647938560.

The previous prime is 27449319093607. The next prime is 27449319093649. The reversal of 27449319093632 is 23639091394472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6816317603 + ... + 6816321629.

It is an arithmetic number, because the mean of its divisors is an integer number (234804204000).

Almost surely, 2^{27449319093632} 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 27449319093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30054938112000).

27449319093632 is an abundant number, since it is smaller than the sum of its proper divisors (32660557130368).

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

27449319093632 is a wasteful number, since it uses less digits than its factorization.

27449319093632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 62.

The spelling of 27449319093632 in words is "twenty-seven trillion, four hundred forty-nine billion, three hundred nineteen million, ninety-three thousand, six hundred thirty-two".