9657575424000 has 3240 divisors, whose sum is σ = 44187706383912. Its totient is φ = 2021444812800.

The previous prime is 9657575423971. The next prime is 9657575424067. The reversal of 9657575424000 is 4245757569.

It is a happy number.

9657575424000 is a `hidden beast` number, since 9 + 6 + 5 + 7 + 57 + 542 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2021947490304 + 7635627933696 = 1421952^2 + 2763264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 261015551982 + ... + 261015552018.

Almost surely, 2^{9657575424000} is an apocalyptic number.

9657575424000 is a gapful number since it is divisible by the number (90) 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 9657575424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22093853191956).

9657575424000 is an abundant number, since it is smaller than the sum of its proper divisors (34530130959912).

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

9657575424000 is a wasteful number, since it uses less digits than its factorization.

9657575424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 9657575424000 in words is "nine trillion, six hundred fifty-seven billion, five hundred seventy-five million, four hundred twenty-four thousand".