9563808672 has 240 divisors, whose sum is σ = 30790821600. Its totient is φ = 2888040960.

The previous prime is 9563808659. The next prime is 9563808673. The reversal of 9563808672 is 2768083659.

It is a happy number.

9563808672 is a `hidden beast` number, since 9 + 563 + 8 + 0 + 8 + 6 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9563808673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14512279 + ... + 14512937.

It is an arithmetic number, because the mean of its divisors is an integer number (128295090).

Almost surely, 2^9563808672 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 9563808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15395410800).

9563808672 is an abundant number, since it is smaller than the sum of its proper divisors (21227012928).

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

9563808672 is a wasteful number, since it uses less digits than its factorization.

9563808672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 9563808672 is about 97794.7272198251. The cubic root of 9563808672 is about 2122.6430095053.

The spelling of 9563808672 in words is "nine billion, five hundred sixty-three million, eight hundred eight thousand, six hundred seventy-two".