9640647475200 has 2160 divisors, whose sum is σ = 41636000375424. Its totient is φ = 2165833728000.

The previous prime is 9640647475187. The next prime is 9640647475211. The reversal of 9640647475200 is 25747460469.

9640647475200 is a `hidden beast` number, since 9 + 6 + 40 + 6 + 4 + 74 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 143 ways as a sum of consecutive naturals, for example, 70369689532 + ... + 70369689668.

Almost surely, 2^{9640647475200} is an apocalyptic number.

9640647475200 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 9640647475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20818000187712).

9640647475200 is an abundant number, since it is smaller than the sum of its proper divisors (31995352900224).

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

9640647475200 is a wasteful number, since it uses less digits than its factorization.

9640647475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 9640647475200 in words is "nine trillion, six hundred forty billion, six hundred forty-seven million, four hundred seventy-five thousand, two hundred".