9902144720 has 80 divisors (see below), whose sum is σ = 24814578432. Its totient is φ = 3653061120.

The previous prime is 9902144711. The next prime is 9902144723. The reversal of 9902144720 is 274412099.

9902144720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9902144723) 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 15 ways as a sum of consecutive naturals, for example, 1476575 + ... + 1483265.

Almost surely, 2^9902144720 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 9902144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12407289216).

9902144720 is an abundant number, since it is smaller than the sum of its proper divisors (14912433712).

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

9902144720 is a wasteful number, since it uses less digits than its factorization.

9902144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8134 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 9902144720 is about 99509.5207505292. The cubic root of 9902144720 is about 2147.3842152421.

The spelling of 9902144720 in words is "nine billion, nine hundred two million, one hundred forty-four thousand, seven hundred twenty".