27609708672 has 384 divisors, whose sum is σ = 98772360960. Its totient is φ = 7208165376.

The previous prime is 27609708641. The next prime is 27609708673. The reversal of 27609708672 is 27680790672.

27609708672 is a `hidden beast` number, since 27 + 609 + 7 + 0 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27609708673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10796418 + ... + 10798974.

It is an arithmetic number, because the mean of its divisors is an integer number (257219690).

Almost surely, 2^27609708672 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 27609708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49386180480).

27609708672 is an abundant number, since it is smaller than the sum of its proper divisors (71162652288).

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

27609708672 is a wasteful number, since it uses less digits than its factorization.

27609708672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 27609708672 in words is "twenty-seven billion, six hundred nine million, seven hundred eight thousand, six hundred seventy-two".