29996322664968 has 384 divisors, whose sum is σ = 94528399680000. Its totient is φ = 8497807718400.

The previous prime is 29996322664813. The next prime is 29996322664999. The reversal of 29996322664968 is 86946622369992.

29996322664968 is a `hidden beast` number, since 2 + 9 + 9 + 9 + 63 + 2 + 2 + 66 + 496 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 352818048 + ... + 352903056.

It is an arithmetic number, because the mean of its divisors is an integer number (246167707500).

Almost surely, 2^{29996322664968} 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 29996322664968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47264199840000).

29996322664968 is an abundant number, since it is smaller than the sum of its proper divisors (64532077015032).

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

29996322664968 is a wasteful number, since it uses less digits than its factorization.

29996322664968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85361 (or 85354 counting only the distinct ones).

The product of its digits is 6530347008, while the sum is 81.

The spelling of 29996322664968 in words is "twenty-nine trillion, nine hundred ninety-six billion, three hundred twenty-two million, six hundred sixty-four thousand, nine hundred sixty-eight".