29730765168 has 120 divisors (see below), whose sum is σ = 89722153248. Its totient is φ = 9135991296.

The previous prime is 29730765161. The next prime is 29730765179. The reversal of 29730765168 is 86156703792.

29730765168 is a `hidden beast` number, since 2 + 97 + 30 + 7 + 6 + 516 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29730765161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482021 + ... + 1501947.

Almost surely, 2^29730765168 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 29730765168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44861076624).

29730765168 is an abundant number, since it is smaller than the sum of its proper divisors (59991388080).

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

29730765168 is a wasteful number, since it uses less digits than its factorization.

29730765168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20751 (or 20742 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 29730765168 in words is "twenty-nine billion, seven hundred thirty million, seven hundred sixty-five thousand, one hundred sixty-eight".