9640563120 has 240 divisors, whose sum is σ = 33589850112. Its totient is φ = 2475878400.

The previous prime is 9640563113. The next prime is 9640563143. The reversal of 9640563120 is 213650469.

It is a happy number.

9640563120 is a `hidden beast` number, since 9 + 640 + 5 + 6 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2688849 + ... + 2692431.

Almost surely, 2^9640563120 is an apocalyptic number.

9640563120 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 9640563120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16794925056).

9640563120 is an abundant number, since it is smaller than the sum of its proper divisors (23949286992).

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

9640563120 is a wasteful number, since it uses less digits than its factorization.

9640563120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9640563120 is about 98186.3693187603. The cubic root of 9640563120 is about 2128.3063174382.

The spelling of 9640563120 in words is "nine billion, six hundred forty million, five hundred sixty-three thousand, one hundred twenty".