9921864960 has 1008 divisors, whose sum is σ = 42894566400. Its totient is φ = 2194698240.

The previous prime is 9921864943. The next prime is 9921864971. The reversal of 9921864960 is 694681299.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-4 number, since 4×9921864960⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9921864897 and 9921864906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 320060145 + ... + 320060175.

Almost surely, 2^9921864960 is an apocalyptic number.

9921864960 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 9921864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21447283200).

9921864960 is an abundant number, since it is smaller than the sum of its proper divisors (32972701440).

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

9921864960 is an frugal number, since it uses more digits than its factorization.

9921864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 9921864960 is about 99608.5586684197. The cubic root of 9921864960 is about 2148.8087837870.

The spelling of 9921864960 in words is "nine billion, nine hundred twenty-one million, eight hundred sixty-four thousand, nine hundred sixty".