9608480640 has 384 divisors, whose sum is σ = 36489398400. Its totient is φ = 2310451200.

The previous prime is 9608480543. The next prime is 9608480647. The reversal of 9608480640 is 460848069.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9608480647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8806495 + ... + 8807585.

It is an arithmetic number, because the mean of its divisors is an integer number (95024475).

Almost surely, 2^9608480640 is an apocalyptic number.

9608480640 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 9608480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244699200).

9608480640 is an abundant number, since it is smaller than the sum of its proper divisors (26880917760).

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

9608480640 is a wasteful number, since it uses less digits than its factorization.

9608480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9608480640 is about 98022.8577424674. The cubic root of 9608480640 is about 2125.9427892214.

The spelling of 9608480640 in words is "nine billion, six hundred eight million, four hundred eighty thousand, six hundred forty".