29733066864 has 120 divisors (see below), whose sum is σ = 87660044160. Its totient is φ = 9381972096.

The previous prime is 29733066863. The next prime is 29733066887. The reversal of 29733066864 is 46866033792.

It is a self number, because there is not a number n which added to its sum of digits gives 29733066864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29733066863) 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 23 ways as a sum of consecutive naturals, for example, 4218127 + ... + 4225169.

It is an arithmetic number, because the mean of its divisors is an integer number (730500368).

Almost surely, 2^29733066864 is an apocalyptic number.

29733066864 is a gapful number since it is divisible by the number (24) 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 29733066864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43830022080).

29733066864 is an abundant number, since it is smaller than the sum of its proper divisors (57926977296).

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

29733066864 is a wasteful number, since it uses less digits than its factorization.

29733066864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619 (or 8610 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 29733066864 in words is "twenty-nine billion, seven hundred thirty-three million, sixty-six thousand, eight hundred sixty-four".