27706296960 has 384 divisors, whose sum is σ = 99604028160. Its totient is φ = 7091036160.

The previous prime is 27706296949. The next prime is 27706296967. The reversal of 27706296960 is 6969260772.

It is a happy number.

27706296960 is a `hidden beast` number, since 2 + 7 + 7 + 0 + 629 + 6 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27706296897 and 27706296906.

It is not an unprimeable number, because it can be changed into a prime (27706296967) 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, 14347195 + ... + 14349125.

It is an arithmetic number, because the mean of its divisors is an integer number (259385490).

Almost surely, 2^27706296960 is an apocalyptic number.

27706296960 is a gapful number since it is divisible by the number (20) 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 27706296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49802014080).

27706296960 is an abundant number, since it is smaller than the sum of its proper divisors (71897731200).

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

27706296960 is a wasteful number, since it uses less digits than its factorization.

27706296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 27706296960 in words is "twenty-seven billion, seven hundred six million, two hundred ninety-six thousand, nine hundred sixty".