29968646400 has 1296 divisors, whose sum is σ = 138782367360. Its totient is φ = 5986713600.

The previous prime is 29968646353. The next prime is 29968646413. The reversal of 29968646400 is 464686992.

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 143 ways as a sum of consecutive naturals, for example, 128620684 + ... + 128620916.

It is an arithmetic number, because the mean of its divisors is an integer number (107085160).

Almost surely, 2^29968646400 is an apocalyptic number.

29968646400 is a gapful number since it is divisible by the number (20) 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 29968646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69391183680).

29968646400 is an abundant number, since it is smaller than the sum of its proper divisors (108813720960).

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

29968646400 is a wasteful number, since it uses less digits than its factorization.

29968646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 29968646400 in words is "twenty-nine billion, nine hundred sixty-eight million, six hundred forty-six thousand, four hundred".