29664317484 has 144 divisors (see below), whose sum is σ = 80738985600. Its totient is φ = 9150340608.

The previous prime is 29664317453. The next prime is 29664317489. The reversal of 29664317484 is 48471346692.

29664317484 is a `hidden beast` number, since 2 + 9 + 66 + 431 + 74 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 29664317484.

It is not an unprimeable number, because it can be changed into a prime (29664317489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9100647 + ... + 9103905.

It is an arithmetic number, because the mean of its divisors is an integer number (560687400).

Almost surely, 2^29664317484 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 29664317484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40369492800).

29664317484 is an abundant number, since it is smaller than the sum of its proper divisors (51074668116).

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

29664317484 is a wasteful number, since it uses less digits than its factorization.

29664317484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3527 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 29664317484 in words is "twenty-nine billion, six hundred sixty-four million, three hundred seventeen thousand, four hundred eighty-four".