29364032432 has 80 divisors (see below), whose sum is σ = 66407208000. Its totient is φ = 12573227520.

The previous prime is 29364032413. The next prime is 29364032473. The reversal of 29364032432 is 23423046392.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9443294 + ... + 9446402.

It is an arithmetic number, because the mean of its divisors is an integer number (830090100).

Almost surely, 2^29364032432 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 29364032432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33203604000).

29364032432 is an abundant number, since it is smaller than the sum of its proper divisors (37043175568).

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

29364032432 is a wasteful number, since it uses less digits than its factorization.

29364032432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

The spelling of 29364032432 in words is "twenty-nine billion, three hundred sixty-four million, thirty-two thousand, four hundred thirty-two".