9450506880 has 192 divisors, whose sum is σ = 32893286400. Its totient is φ = 2500098048.

The previous prime is 9450506861. The next prime is 9450506887. The reversal of 9450506880 is 886050549.

9450506880 is a `hidden beast` number, since 9 + 4 + 505 + 0 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (9450506887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725061 + ... + 737979.

It is an arithmetic number, because the mean of its divisors is an integer number (171319200).

Almost surely, 2^9450506880 is an apocalyptic number.

9450506880 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 9450506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16446643200).

9450506880 is an abundant number, since it is smaller than the sum of its proper divisors (23442779520).

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

9450506880 is a wasteful number, since it uses less digits than its factorization.

9450506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13071 (or 13056 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 9450506880 is about 97213.7175505597. The cubic root of 9450506880 is about 2114.2274193117.

The spelling of 9450506880 in words is "nine billion, four hundred fifty million, five hundred six thousand, eight hundred eighty".