9645278615040 has 640 divisors, whose sum is σ = 32474447216640. Its totient is φ = 2438944358400.

The previous prime is 9645278615029. The next prime is 9645278615069. The reversal of 9645278615040 is 405168725469.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5155145305 + ... + 5155147175.

It is an arithmetic number, because the mean of its divisors is an integer number (50741323776).

Almost surely, 2^{9645278615040} 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 9645278615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16237223608320).

9645278615040 is an abundant number, since it is smaller than the sum of its proper divisors (22829168601600).

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

9645278615040 is a wasteful number, since it uses less digits than its factorization.

9645278615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 9645278615040 in words is "nine trillion, six hundred forty-five billion, two hundred seventy-eight million, six hundred fifteen thousand, forty".