9923665920 has 448 divisors, whose sum is σ = 36991503360. Its totient is φ = 2224816128.

The previous prime is 9923665909. The next prime is 9923665937. The reversal of 9923665920 is 295663299.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71393211 + ... + 71393349.

It is an arithmetic number, because the mean of its divisors is an integer number (82570320).

Almost surely, 2^9923665920 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 9923665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495751680).

9923665920 is an abundant number, since it is smaller than the sum of its proper divisors (27067837440).

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

9923665920 is a wasteful number, since it uses less digits than its factorization.

9923665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 51.

The square root of 9923665920 is about 99617.5984452546. The cubic root of 9923665920 is about 2148.9387890685.

The spelling of 9923665920 in words is "nine billion, nine hundred twenty-three million, six hundred sixty-five thousand, nine hundred twenty".