29383968768 has 576 divisors, whose sum is σ = 104868691200. Its totient is φ = 7215022080.

The previous prime is 29383968743. The next prime is 29383968781. The reversal of 29383968768 is 86786938392.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62920471 + ... + 62920937.

It is an arithmetic number, because the mean of its divisors is an integer number (182063700).

Almost surely, 2^29383968768 is an apocalyptic number.

29383968768 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 29383968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52434345600).

29383968768 is an abundant number, since it is smaller than the sum of its proper divisors (75484722432).

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

29383968768 is a wasteful number, since it uses less digits than its factorization.

29383968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 509 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 69.

The spelling of 29383968768 in words is "twenty-nine billion, three hundred eighty-three million, nine hundred sixty-eight thousand, seven hundred sixty-eight".