9924451680 has 384 divisors, whose sum is σ = 36968472576. Its totient is φ = 2206310400.

The previous prime is 9924451679. The next prime is 9924451711. The reversal of 9924451680 is 861544299.

It is a super-2 number, since 2×9924451680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 13109862 + ... + 13110618.

It is an arithmetic number, because the mean of its divisors is an integer number (96272064).

Almost surely, 2^9924451680 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 9924451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18484236288).

9924451680 is an abundant number, since it is smaller than the sum of its proper divisors (27044020896).

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

9924451680 is a wasteful number, since it uses less digits than its factorization.

9924451680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 9924451680 is about 99621.5422486522. The cubic root of 9924451680 is about 2148.9955055276.

The spelling of 9924451680 in words is "nine billion, nine hundred twenty-four million, four hundred fifty-one thousand, six hundred eighty".