27968740516304 has 40 divisors (see below), whose sum is σ = 61931131570560. Its totient is φ = 11986535530368.

The previous prime is 27968740516259. The next prime is 27968740516313. The reversal of 27968740516304 is 40361504786972.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22727762 + ... + 23926734.

It is an arithmetic number, because the mean of its divisors is an integer number (1548278289264).

It is a 2-persistent number, because it is pandigital, and so is 2⋅27968740516304 = 55937481032608, but 3⋅27968740516304 = 83906221548912 is not.

Almost surely, 2^{27968740516304} is an apocalyptic number.

It is an amenable number.

27968740516304 is an abundant number, since it is smaller than the sum of its proper divisors (33962391054256).

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

27968740516304 is a wasteful number, since it uses less digits than its factorization.

27968740516304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407267 (or 1407261 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 62.

The spelling of 27968740516304 in words is "twenty-seven trillion, nine hundred sixty-eight billion, seven hundred forty million, five hundred sixteen thousand, three hundred four".