7325248320 has 504 divisors, whose sum is σ = 28866519864. Its totient is φ = 1694564352.

The previous prime is 7325248319. The next prime is 7325248331. The reversal of 7325248320 is 238425237.

7325248320 is a `hidden beast` number, since 7 + 32 + 524 + 83 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 627264 + 7324621056 = 792^2 + 85584^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10819822 + ... + 10820498.

It is an arithmetic number, because the mean of its divisors is an integer number (57274841).

Almost surely, 2^7325248320 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 7325248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433259932).

7325248320 is an abundant number, since it is smaller than the sum of its proper divisors (21541271544).

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

7325248320 is a wasteful number, since it uses less digits than its factorization.

7325248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7325248320 is about 85587.6645317536. The cubic root of 7325248320 is about 1942.1113089602. Note that the first 3 decimals are identical.

The spelling of 7325248320 in words is "seven billion, three hundred twenty-five million, two hundred forty-eight thousand, three hundred twenty".