9509368320 has 240 divisors, whose sum is σ = 33076847232. Its totient is φ = 2524815360.

The previous prime is 9509368301. The next prime is 9509368321. The reversal of 9509368320 is 238639059.

It is a tau number, because it is divible by the number of its divisors (240).

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 (9509368321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6243079 + ... + 6244601.

Almost surely, 2^9509368320 is an apocalyptic number.

9509368320 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 9509368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538423616).

9509368320 is an abundant number, since it is smaller than the sum of its proper divisors (23567478912).

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

9509368320 is a wasteful number, since it uses less digits than its factorization.

9509368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9509368320 is about 97515.9900734233. The cubic root of 9509368320 is about 2118.6077485094.

The spelling of 9509368320 in words is "nine billion, five hundred nine million, three hundred sixty-eight thousand, three hundred twenty".