27766730435328 has 216 divisors, whose sum is σ = 81807971044800. Its totient is φ = 9053522952192.

The previous prime is 27766730435291. The next prime is 27766730435333. The reversal of 27766730435328 is 82353403766772.

27766730435328 is a `hidden beast` number, since 2 + 7 + 7 + 6 + 67 + 30 + 4 + 3 + 532 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 193655568 + ... + 193798896.

Almost surely, 2^{27766730435328} 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 27766730435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40903985522400).

27766730435328 is an abundant number, since it is smaller than the sum of its proper divisors (54041240609472).

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

27766730435328 is a wasteful number, since it uses less digits than its factorization.

27766730435328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145187 (or 145170 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 63.

The spelling of 27766730435328 in words is "twenty-seven trillion, seven hundred sixty-six billion, seven hundred thirty million, four hundred thirty-five thousand, three hundred twenty-eight".