29972447840 has 96 divisors (see below), whose sum is σ = 71275438080. Its totient is φ = 11910444544.

The previous prime is 29972447831. The next prime is 29972447887. The reversal of 29972447840 is 4874427992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20155577 + ... + 20157063.

It is an arithmetic number, because the mean of its divisors is an integer number (742452480).

Almost surely, 2^29972447840 is an apocalyptic number.

29972447840 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 29972447840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35637719040).

29972447840 is an abundant number, since it is smaller than the sum of its proper divisors (41302990240).

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

29972447840 is a wasteful number, since it uses less digits than its factorization.

29972447840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 29972447840 in words is "twenty-nine billion, nine hundred seventy-two million, four hundred forty-seven thousand, eight hundred forty".