9607825920 has 720 divisors, whose sum is σ = 39459286944. Its totient is φ = 1986969600.

The previous prime is 9607825841. The next prime is 9607825921. The reversal of 9607825920 is 295287069.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9607825920.

It is not an unprimeable number, because it can be changed into a prime (9607825921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45534615 + ... + 45534825.

Almost surely, 2^9607825920 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 9607825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729643472).

9607825920 is an abundant number, since it is smaller than the sum of its proper divisors (29851461024).

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

9607825920 is a wasteful number, since it uses less digits than its factorization.

9607825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 9607825920 is about 98019.5180563545. The cubic root of 9607825920 is about 2125.8945010154.

The spelling of 9607825920 in words is "nine billion, six hundred seven million, eight hundred twenty-five thousand, nine hundred twenty".