9022648320 has 936 divisors, whose sum is σ = 38747885904. Its totient is φ = 2006581248.

The previous prime is 9022648279. The next prime is 9022648361. The reversal of 9022648320 is 238462209.

9022648320 is a `hidden beast` number, since 9 + 0 + 2 + 2 + 648 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9022648279) and next prime (9022648361).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855342 + ... + 243855378.

It is an arithmetic number, because the mean of its divisors is an integer number (41397314).

Almost surely, 2^9022648320 is an apocalyptic number.

9022648320 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 9022648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373942952).

9022648320 is an abundant number, since it is smaller than the sum of its proper divisors (29725237584).

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

9022648320 is an equidigital number, since it uses as much as digits as its factorization.

9022648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9022648320 is about 94987.6219304389. The cubic root of 9022648320 is about 2081.8271912646.

The spelling of 9022648320 in words is "nine billion, twenty-two million, six hundred forty-eight thousand, three hundred twenty".