29676735320328 has 576 divisors, whose sum is σ = 86909102280000. Its totient is φ = 9145542712320.

The previous prime is 29676735320327. The next prime is 29676735320341. The reversal of 29676735320328 is 82302353767692.

It is a happy number.

29676735320328 is a `hidden beast` number, since 2 + 9 + 6 + 7 + 6 + 73 + 532 + 0 + 3 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (29676735320327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70491057558 + ... + 70491057978.

It is an arithmetic number, because the mean of its divisors is an integer number (150883858125).

Almost surely, 2^{29676735320328} 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 29676735320328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43454551140000).

29676735320328 is an abundant number, since it is smaller than the sum of its proper divisors (57232366959672).

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

29676735320328 is a wasteful number, since it uses less digits than its factorization.

29676735320328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 29676735320328 in words is "twenty-nine trillion, six hundred seventy-six billion, seven hundred thirty-five million, three hundred twenty thousand, three hundred twenty-eight".