9506643560064 has 1024 divisors, whose sum is σ = 34295892480000. Its totient is φ = 2532194058240.

The previous prime is 9506643560053. The next prime is 9506643560129. The reversal of 9506643560064 is 4600653466059.

9506643560064 is a `hidden beast` number, since 95 + 0 + 6 + 6 + 435 + 60 + 0 + 64 = 666.

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 127 ways as a sum of consecutive naturals, for example, 11495336419 + ... + 11495337245.

It is an arithmetic number, because the mean of its divisors is an integer number (33492082500).

Almost surely, 2^{9506643560064} 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 9506643560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147946240000).

9506643560064 is an abundant number, since it is smaller than the sum of its proper divisors (24789248919936).

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

9506643560064 is a wasteful number, since it uses less digits than its factorization.

9506643560064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 9506643560064 in words is "nine trillion, five hundred six billion, six hundred forty-three million, five hundred sixty thousand, sixty-four".