29996724307968 has 960 divisors, whose sum is σ = 100590939408960. Its totient is φ = 8828957491200.

The previous prime is 29996724307951. The next prime is 29996724307993. The reversal of 29996724307968 is 86970342769992.

29996724307968 is a `hidden beast` number, since 2 + 9 + 9 + 96 + 7 + 2 + 430 + 7 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 79 ways as a sum of consecutive naturals, for example, 8924938608 + ... + 8924941968.

It is an arithmetic number, because the mean of its divisors is an integer number (104782228551).

Almost surely, 2^{29996724307968} 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 29996724307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50295469704480).

29996724307968 is an abundant number, since it is smaller than the sum of its proper divisors (70594215100992).

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

29996724307968 is a wasteful number, since it uses less digits than its factorization.

29996724307968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 4444263936, while the sum is 81.

The spelling of 29996724307968 in words is "twenty-nine trillion, nine hundred ninety-six billion, seven hundred twenty-four million, three hundred seven thousand, nine hundred sixty-eight".