9648500820 has 192 divisors, whose sum is σ = 32240947200. Its totient is φ = 2153886336.

The previous prime is 9648500779. The next prime is 9648500821. The reversal of 9648500820 is 280058469.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9648500821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 879489 + ... + 890391.

It is an arithmetic number, because the mean of its divisors is an integer number (167921600).

Almost surely, 2^9648500820 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 9648500820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120473600).

9648500820 is an abundant number, since it is smaller than the sum of its proper divisors (22592446380).

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

9648500820 is a wasteful number, since it uses less digits than its factorization.

9648500820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10963 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 9648500820 is about 98226.7826002664. The cubic root of 9648500820 is about 2128.8902813403.

The spelling of 9648500820 in words is "nine billion, six hundred forty-eight million, five hundred thousand, eight hundred twenty".