27508973968 has 60 divisors (see below), whose sum is σ = 62086336860. Its totient is φ = 11773230336.

The previous prime is 27508973953. The next prime is 27508973969. The reversal of 27508973968 is 86937980572.

It can be written as a sum of positive squares in 2 ways, for example, as 25036099984 + 2472873984 = 158228^2 + 49728^2 .

It is not an unprimeable number, because it can be changed into a prime (27508973969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550738 + ... + 598606.

It is an arithmetic number, because the mean of its divisors is an integer number (1034772281).

Almost surely, 2^27508973968 is an apocalyptic number.

27508973968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27508973968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31043168430).

27508973968 is an abundant number, since it is smaller than the sum of its proper divisors (34577362892).

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

27508973968 is a wasteful number, since it uses less digits than its factorization.

27508973968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48624 (or 48611 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 27508973968 in words is "twenty-seven billion, five hundred eight million, nine hundred seventy-three thousand, nine hundred sixty-eight".