9505812480 has 416 divisors, whose sum is σ = 33969715200. Its totient is φ = 2255486976.

The previous prime is 9505812479. The next prime is 9505812523. The reversal of 9505812480 is 842185059.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19844881 + ... + 19845359.

Almost surely, 2^9505812480 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 9505812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984857600).

9505812480 is an abundant number, since it is smaller than the sum of its proper divisors (24463902720).

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

9505812480 is a wasteful number, since it uses less digits than its factorization.

9505812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 9505812480 is about 97497.7562818755. The cubic root of 9505812480 is about 2118.3436451147.

The spelling of 9505812480 in words is "nine billion, five hundred five million, eight hundred twelve thousand, four hundred eighty".