9625048000 has 112 divisors (see below), whose sum is σ = 23889943584. Its totient is φ = 3841382400.

The previous prime is 9625047997. The next prime is 9625048009. The reversal of 9625048000 is 8405269.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9625048009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4502932 + ... + 4505068.

Almost surely, 2^9625048000 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 9625048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944971792).

9625048000 is an abundant number, since it is smaller than the sum of its proper divisors (14264895584).

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

9625048000 is a wasteful number, since it uses less digits than its factorization.

9625048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 9625048000 is about 98107.3289820898. The cubic root of 9625048000 is about 2127.1639686105.

The spelling of 9625048000 in words is "nine billion, six hundred twenty-five million, forty-eight thousand".