7330648320 has 432 divisors, whose sum is σ = 26899367040. Its totient is φ = 1839366144.

The previous prime is 7330648313. The next prime is 7330648357. The reversal of 7330648320 is 238460337.

7330648320 is a `hidden beast` number, since 7 + 3 + 3 + 0 + 648 + 3 + 2 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19341891 + ... + 19342269.

Almost surely, 2^7330648320 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 7330648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449683520).

7330648320 is an abundant number, since it is smaller than the sum of its proper divisors (19568718720).

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

7330648320 is a wasteful number, since it uses less digits than its factorization.

7330648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7330648320 is about 85619.2053221706. The cubic root of 7330648320 is about 1942.5884179329.

The spelling of 7330648320 in words is "seven billion, three hundred thirty million, six hundred forty-eight thousand, three hundred twenty".