9705870796608 has 336 divisors, whose sum is σ = 32067623318016. Its totient is φ = 2749318640640.

The previous prime is 9705870796561. The next prime is 9705870796663. The reversal of 9705870796608 is 8066970785079.

9705870796608 is a `hidden beast` number, since 9 + 7 + 0 + 5 + 8 + 7 + 0 + 7 + 9 + 6 + 608 = 666.

9705870796608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593151435 + ... + 593167797.

Almost surely, 2^{9705870796608} 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 9705870796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16033811659008).

9705870796608 is an abundant number, since it is smaller than the sum of its proper divisors (22361752521408).

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

9705870796608 is a wasteful number, since it uses less digits than its factorization.

9705870796608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17642 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 9705870796608 in words is "nine trillion, seven hundred five billion, eight hundred seventy million, seven hundred ninety-six thousand, six hundred eight".