9645942620160 has 4320 divisors, whose sum is σ = 46991212369920. Its totient is φ = 1872809164800.

The previous prime is 9645942620143. The next prime is 9645942620161. The reversal of 9645942620160 is 610262495469.

9645942620160 is a `hidden beast` number, since 9 + 6 + 4 + 5 + 9 + 4 + 2 + 620 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-4 number, since 4×9645942620160⁴ (a number of 53 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 = 9645942620097 and 9645942620106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9645942620161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 311159439345 + ... + 311159439375.

It is an arithmetic number, because the mean of its divisors is an integer number (10877595456).

Almost surely, 2^{9645942620160} is an apocalyptic number.

9645942620160 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 9645942620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23495606184960).

9645942620160 is an abundant number, since it is smaller than the sum of its proper divisors (37345269749760).

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

9645942620160 is a wasteful number, since it uses less digits than its factorization.

9645942620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 9645942620160 in words is "nine trillion, six hundred forty-five billion, nine hundred forty-two million, six hundred twenty thousand, one hundred sixty".