7305216000 has 480 divisors, whose sum is σ = 25762726080. Its totient is φ = 1835008000.

The previous prime is 7305215987. The next prime is 7305216019. The reversal of 7305216000 is 6125037.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178175980 + ... + 178176020.

It is an arithmetic number, because the mean of its divisors is an integer number (53672346).

Almost surely, 2^7305216000 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 7305216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881363040).

7305216000 is an abundant number, since it is smaller than the sum of its proper divisors (18457510080).

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

7305216000 is an equidigital number, since it uses as much as digits as its factorization.

7305216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 7305216000 is about 85470.5563337457. The cubic root of 7305216000 is about 1940.3393320057.

The spelling of 7305216000 in words is "seven billion, three hundred five million, two hundred sixteen thousand".