29836974407968 has 192 divisors, whose sum is σ = 72428341079808. Its totient is φ = 11782259896320.

The previous prime is 29836974407921. The next prime is 29836974407969. The reversal of 29836974407968 is 86970447963892.

It is a junction number, because it is equal to n+sod(n) for n = 29836974407891 and 29836974407900.

It is not an unprimeable number, because it can be changed into a prime (29836974407969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6605482446 + ... + 6605486962.

It is an arithmetic number, because the mean of its divisors is an integer number (377230943124).

Almost surely, 2^{29836974407968} is an apocalyptic number.

29836974407968 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 29836974407968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36214170539904).

29836974407968 is an abundant number, since it is smaller than the sum of its proper divisors (42591366671840).

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

29836974407968 is a wasteful number, since it uses less digits than its factorization.

29836974407968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8155 (or 8147 counting only the distinct ones).

The product of its (nonzero) digits is 7900913664, while the sum is 82.

The spelling of 29836974407968 in words is "twenty-nine trillion, eight hundred thirty-six billion, nine hundred seventy-four million, four hundred seven thousand, nine hundred sixty-eight".