29724122880 has 720 divisors, whose sum is σ = 113966899200. Its totient is φ = 7375380480.

The previous prime is 29724122867. The next prime is 29724122881. The reversal of 29724122880 is 8822142792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29724122881) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 155623585 + ... + 155623775.

It is an arithmetic number, because the mean of its divisors is an integer number (158287360).

Almost surely, 2^29724122880 is an apocalyptic number.

29724122880 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 29724122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56983449600).

29724122880 is an abundant number, since it is smaller than the sum of its proper divisors (84242776320).

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

29724122880 is a wasteful number, since it uses less digits than its factorization.

29724122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 29724122880 in words is "twenty-nine billion, seven hundred twenty-four million, one hundred twenty-two thousand, eight hundred eighty".