29879642330496 has 768 divisors, whose sum is σ = 105803750707200. Its totient is φ = 8213576048640.

The previous prime is 29879642330443. The next prime is 29879642330513. The reversal of 29879642330496 is 69403324697892.

29879642330496 is a `hidden beast` number, since 2 + 9 + 8 + 7 + 96 + 42 + 3 + 3 + 0 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1167662470 + ... + 1167688058.

It is an arithmetic number, because the mean of its divisors is an integer number (137765300400).

Almost surely, 2^{29879642330496} 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 29879642330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52901875353600).

29879642330496 is an abundant number, since it is smaller than the sum of its proper divisors (75924108376704).

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

29879642330496 is a wasteful number, since it uses less digits than its factorization.

29879642330496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25829 (or 25805 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 29879642330496 in words is "twenty-nine trillion, eight hundred seventy-nine billion, six hundred forty-two million, three hundred thirty thousand, four hundred ninety-six".