29668986823680 has 1408 divisors, whose sum is σ = 114711065948160. Its totient is φ = 7243015127040.

The previous prime is 29668986823673. The next prime is 29668986823691. The reversal of 29668986823680 is 8632868986692.

29668986823680 is a `hidden beast` number, since 2 + 96 + 6 + 8 + 98 + 6 + 82 + 368 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 29668986823680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33448688197 + ... + 33448689083.

It is an arithmetic number, because the mean of its divisors is an integer number (81470927520).

Almost surely, 2^{29668986823680} is an apocalyptic number.

29668986823680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29668986823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57355532974080).

29668986823680 is an abundant number, since it is smaller than the sum of its proper divisors (85042079124480).

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

29668986823680 is a wasteful number, since it uses less digits than its factorization.

29668986823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 5159780352, while the sum is 81.

The spelling of 29668986823680 in words is "twenty-nine trillion, six hundred sixty-eight billion, nine hundred eighty-six million, eight hundred twenty-three thousand, six hundred eighty".