9647985600 has 672 divisors, whose sum is σ = 39004646400. Its totient is φ = 2300313600.

The previous prime is 9647985527. The next prime is 9647985601. The reversal of 9647985600 is 65897469.

9647985600 is a `hidden beast` number, since 9 + 6 + 4 + 79 + 8 + 560 + 0 = 666.

It is a super-2 number, since 2×9647985600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9647985601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37540672 + ... + 37540928.

Almost surely, 2^9647985600 is an apocalyptic number.

9647985600 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 9647985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19502323200).

9647985600 is an abundant number, since it is smaller than the sum of its proper divisors (29356660800).

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

9647985600 is a wasteful number, since it uses less digits than its factorization.

9647985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9647985600 is about 98224.1599607754. The cubic root of 9647985600 is about 2128.8523871501.

The spelling of 9647985600 in words is "nine billion, six hundred forty-seven million, nine hundred eighty-five thousand, six hundred".