9659842560576 has 224 divisors, whose sum is σ = 30673394868480. Its totient is φ = 2963437166592.

The previous prime is 9659842560547. The next prime is 9659842560581. The reversal of 9659842560576 is 6750652489569.

It is a happy number.

9659842560576 is a `hidden beast` number, since 9 + 6 + 5 + 9 + 8 + 4 + 2 + 5 + 605 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6932365 + ... + 8208371.

It is an arithmetic number, because the mean of its divisors is an integer number (136934798520).

Almost surely, 2^{9659842560576} is an apocalyptic number.

9659842560576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9659842560576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15336697434240).

9659842560576 is an abundant number, since it is smaller than the sum of its proper divisors (21013552307904).

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

9659842560576 is a wasteful number, since it uses less digits than its factorization.

9659842560576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276378 (or 1276362 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 9659842560576 in words is "nine trillion, six hundred fifty-nine billion, eight hundred forty-two million, five hundred sixty thousand, five hundred seventy-six".