29704098816 has 352 divisors, whose sum is σ = 103800258560. Its totient is φ = 8211456000.

The previous prime is 29704098769. The next prime is 29704098839. The reversal of 29704098816 is 61889040792.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5997141 + ... + 6002091.

Almost surely, 2^29704098816 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 29704098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51900129280).

29704098816 is an abundant number, since it is smaller than the sum of its proper divisors (74096159744).

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

29704098816 is a wasteful number, since it uses less digits than its factorization.

29704098816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 29704098816 in words is "twenty-nine billion, seven hundred four million, ninety-eight thousand, eight hundred sixteen".