29536243968 has 288 divisors, whose sum is σ = 100662912000. Its totient is φ = 7463854080.

The previous prime is 29536243949. The next prime is 29536243969. The reversal of 29536243968 is 86934263592.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29536243969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181283 + ... + 2194781.

It is an arithmetic number, because the mean of its divisors is an integer number (349524000).

Almost surely, 2^29536243968 is an apocalyptic number.

29536243968 is a gapful number since it is divisible by the number (28) 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 29536243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50331456000).

29536243968 is an abundant number, since it is smaller than the sum of its proper divisors (71126668032).

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

29536243968 is a wasteful number, since it uses less digits than its factorization.

29536243968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13573 (or 13559 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 57.

It can be divided in two parts, 2953624 and 3968, that added together give a palindrome (2957592).

The spelling of 29536243968 in words is "twenty-nine billion, five hundred thirty-six million, two hundred forty-three thousand, nine hundred sixty-eight".