27766739968 has 176 divisors, whose sum is σ = 63139305600. Its totient is φ = 12089262080.

The previous prime is 27766739953. The next prime is 27766739969. The reversal of 27766739968 is 86993766772.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 27766739897 and 27766739906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27766739969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54551298 + ... + 54551806.

Almost surely, 2^27766739968 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 27766739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31569652800).

27766739968 is an abundant number, since it is smaller than the sum of its proper divisors (35372565632).

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

27766739968 is a wasteful number, since it uses less digits than its factorization.

27766739968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 718 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 70.

The spelling of 27766739968 in words is "twenty-seven billion, seven hundred sixty-six million, seven hundred thirty-nine thousand, nine hundred sixty-eight".