29074735320 has 128 divisors (see below), whose sum is σ = 90301132800. Its totient is φ = 7480169984.

The previous prime is 29074735289. The next prime is 29074735337. The reversal of 29074735320 is 2353747092.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6341749 + ... + 6346331.

It is an arithmetic number, because the mean of its divisors is an integer number (705477600).

Almost surely, 2^29074735320 is an apocalyptic number.

29074735320 is a gapful number since it is divisible by the number (20) 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 29074735320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45150566400).

29074735320 is an abundant number, since it is smaller than the sum of its proper divisors (61226397480).

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

29074735320 is a wasteful number, since it uses less digits than its factorization.

29074735320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 29074735320 in words is "twenty-nine billion, seventy-four million, seven hundred thirty-five thousand, three hundred twenty".