27967099776 has 256 divisors, whose sum is σ = 93395704320. Its totient is φ = 7263252480.

The previous prime is 27967099709. The next prime is 27967099859. The reversal of 27967099776 is 67799076972.

It is a self number, because there is not a number n which added to its sum of digits gives 27967099776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3573820 + ... + 3581636.

It is an arithmetic number, because the mean of its divisors is an integer number (364826970).

Almost surely, 2^27967099776 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 27967099776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46697852160).

27967099776 is an abundant number, since it is smaller than the sum of its proper divisors (65428604544).

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

27967099776 is an equidigital number, since it uses as much as digits as its factorization.

27967099776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 126023688, while the sum is 69.

The spelling of 27967099776 in words is "twenty-seven billion, nine hundred sixty-seven million, ninety-nine thousand, seven hundred seventy-six".