9609696160064 has 1344 divisors, whose sum is σ = 27608540940288. Its totient is φ = 3218426265600.

The previous prime is 9609696160061. The next prime is 9609696160091. The reversal of 9609696160064 is 4600616969069.

It is a happy number.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9609696159979 and 9609696160006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9609696160061) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115779471767 + ... + 115779471849.

It is an arithmetic number, because the mean of its divisors is an integer number (20542069152).

Almost surely, 2^{9609696160064} 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 9609696160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804270470144).

9609696160064 is an abundant number, since it is smaller than the sum of its proper divisors (17998844780224).

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

9609696160064 is a wasteful number, since it uses less digits than its factorization.

9609696160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 62.

The spelling of 9609696160064 in words is "nine trillion, six hundred nine billion, six hundred ninety-six million, one hundred sixty thousand, sixty-four".