9924573120 has 896 divisors, whose sum is σ = 41798467584. Its totient is φ = 1935360000.

The previous prime is 9924573103. The next prime is 9924573143. The reversal of 9924573120 is 213754299.

9924573120 = T₁ + T₂ + ... + T₃₉₀₄.

9924573120 is a nontrivial binomial coefficient, being equal to C(3906, 3).

It is a super-2 number, since 2×9924573120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is the 3904-th tetrahedral number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139782685 + ... + 139782755.

Almost surely, 2^9924573120 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 9924573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20899233792).

9924573120 is an abundant number, since it is smaller than the sum of its proper divisors (31873894464).

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

9924573120 is a wasteful number, since it uses less digits than its factorization.

9924573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 9924573120 is about 99622.1517535131. The cubic root of 9924573120 is about 2149.0042708465.

The spelling of 9924573120 in words is "nine billion, nine hundred twenty-four million, five hundred seventy-three thousand, one hundred twenty".