9607613569840 has 480 divisors, whose sum is σ = 26752900204800. Its totient is φ = 3187139788800.

The previous prime is 9607613569777. The next prime is 9607613569913. The reversal of 9607613569840 is 489653167069.

9607613569840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7804722025 + ... + 7804723255.

It is an arithmetic number, because the mean of its divisors is an integer number (55735208760).

Almost surely, 2^{9607613569840} 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 9607613569840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376450102400).

9607613569840 is an abundant number, since it is smaller than the sum of its proper divisors (17145286634960).

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

9607613569840 is a wasteful number, since it uses less digits than its factorization.

9607613569840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 9607613569840 in words is "nine trillion, six hundred seven billion, six hundred thirteen million, five hundred sixty-nine thousand, eight hundred forty".