27907027746304 has 640 divisors, whose sum is σ = 72343941120000. Its totient is φ = 10698519896064.

The previous prime is 27907027746277. The next prime is 27907027746307. The reversal of 27907027746304 is 40364772070972.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27907027746307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6062788867 + ... + 6062793469.

It is an arithmetic number, because the mean of its divisors is an integer number (113037408000).

Almost surely, 2^{27907027746304} 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 27907027746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36171970560000).

27907027746304 is an abundant number, since it is smaller than the sum of its proper divisors (44436913373696).

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

27907027746304 is an equidigital number, since it uses as much as digits as its factorization.

27907027746304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 58.

The spelling of 27907027746304 in words is "twenty-seven trillion, nine hundred seven billion, twenty-seven million, seven hundred forty-six thousand, three hundred four".