29720320448 has 672 divisors, whose sum is σ = 85957623360. Its totient is φ = 10032906240.

The previous prime is 29720320423. The next prime is 29720320451. The reversal of 29720320448 is 84402302792.

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 95 ways as a sum of consecutive naturals, for example, 487218338 + ... + 487218398.

It is an arithmetic number, because the mean of its divisors is an integer number (127913130).

Almost surely, 2^29720320448 is an apocalyptic number.

29720320448 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 29720320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42978811680).

29720320448 is an abundant number, since it is smaller than the sum of its proper divisors (56237302912).

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

29720320448 is a wasteful number, since it uses less digits than its factorization.

29720320448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 29720320448 in words is "twenty-nine billion, seven hundred twenty million, three hundred twenty thousand, four hundred forty-eight".