7305727680 has 168 divisors, whose sum is σ = 25741969344. Its totient is φ = 1900646400.

The previous prime is 7305727673. The next prime is 7305727697. The reversal of 7305727680 is 867275037.

7305727680 is a `hidden beast` number, since 7 + 3 + 0 + 572 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87145 + ... + 149015.

It is an arithmetic number, because the mean of its divisors is an integer number (153226008).

Almost surely, 2^7305727680 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 7305727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870984672).

7305727680 is an abundant number, since it is smaller than the sum of its proper divisors (18436241664).

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

7305727680 is a wasteful number, since it uses less digits than its factorization.

7305727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61935 (or 61922 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 7305727680 is about 85473.5495928419. The cubic root of 7305727680 is about 1940.3846334109.

The spelling of 7305727680 in words is "seven billion, three hundred five million, seven hundred twenty-seven thousand, six hundred eighty".