29868302976 has 256 divisors, whose sum is σ = 83174031360. Its totient is φ = 9490231296.

The previous prime is 29868302927. The next prime is 29868302999. The reversal of 29868302976 is 67920386892.

It is a super-2 number, since 2×29868302976² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 190243890 + ... + 190244046.

It is an arithmetic number, because the mean of its divisors is an integer number (324898560).

Almost surely, 2^29868302976 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 29868302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41587015680).

29868302976 is an abundant number, since it is smaller than the sum of its proper divisors (53305728384).

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

29868302976 is a wasteful number, since it uses less digits than its factorization.

29868302976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 29868302976 in words is "twenty-nine billion, eight hundred sixty-eight million, three hundred two thousand, nine hundred seventy-six".