7305655720 has 96 divisors (see below), whose sum is σ = 18097538760. Its totient is φ = 2652249600.

The previous prime is 7305655711. The next prime is 7305655729. The reversal of 7305655720 is 275565037.

It is an interprime number because it is at equal distance from previous prime (7305655711) and next prime (7305655729).

It can be written as a sum of positive squares in 4 ways, for example, as 7133153764 + 172501956 = 84458^2 + 13134^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7305655729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5289430 + ... + 5290810.

Almost surely, 2^7305655720 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 7305655720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048769380).

7305655720 is an abundant number, since it is smaller than the sum of its proper divisors (10791883040).

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

7305655720 is a wasteful number, since it uses less digits than its factorization.

7305655720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 40.

The square root of 7305655720 is about 85473.1286428665. The cubic root of 7305655720 is about 1940.3782625859.

The spelling of 7305655720 in words is "seven billion, three hundred five million, six hundred fifty-five thousand, seven hundred twenty".