8027733789216 has 72 divisors (see below), whose sum is σ = 22878822097404. Its totient is φ = 2670055833600.

The previous prime is 8027733789211. The next prime is 8027733789259. The reversal of 8027733789216 is 6129873377208.

8027733789216 is a `hidden beast` number, since 8 + 0 + 2 + 7 + 7 + 337 + 89 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7818756809616 + 208976979600 = 2796204^2 + 457140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (8027733789211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30365185 + ... + 30628416.

Almost surely, 2^{8027733789216} is an apocalyptic number.

It is an amenable number.

8027733789216 is an abundant number, since it is smaller than the sum of its proper divisors (14851088308188).

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

8027733789216 is a wasteful number, since it uses less digits than its factorization.

8027733789216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60994074 (or 60994063 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 8027733789216 in words is "eight trillion, twenty-seven billion, seven hundred thirty-three million, seven hundred eighty-nine thousand, two hundred sixteen".