9913669920 has 384 divisors, whose sum is σ = 43261102080. Its totient is φ = 2059914240.

The previous prime is 9913669897. The next prime is 9913669933. The reversal of 9913669920 is 299663199.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317739 + ... + 347541.

It is an arithmetic number, because the mean of its divisors is an integer number (112659120).

Almost surely, 2^9913669920 is an apocalyptic number.

9913669920 is a gapful number since it is divisible by the number (90) 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 9913669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21630551040).

9913669920 is an abundant number, since it is smaller than the sum of its proper divisors (33347432160).

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

9913669920 is a wasteful number, since it uses less digits than its factorization.

9913669920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29845 (or 29831 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 9913669920 is about 99567.4139465317. The cubic root of 9913669920 is about 2148.2170124991.

The spelling of 9913669920 in words is "nine billion, nine hundred thirteen million, six hundred sixty-nine thousand, nine hundred twenty".