7305223680 has 320 divisors, whose sum is σ = 27479580480. Its totient is φ = 1833172992.

The previous prime is 7305223657. The next prime is 7305223691. The reversal of 7305223680 is 863225037.

7305223680 is a `hidden beast` number, since 73 + 0 + 522 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 1171932 + ... + 1178148.

It is an arithmetic number, because the mean of its divisors is an integer number (85873689).

Almost surely, 2^7305223680 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 7305223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739790240).

7305223680 is an abundant number, since it is smaller than the sum of its proper divisors (20174356800).

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

7305223680 is a wasteful number, since it uses less digits than its factorization.

7305223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7305223680 is about 85470.6012614864. The cubic root of 7305223680 is about 1940.3400119674.

The spelling of 7305223680 in words is "seven billion, three hundred five million, two hundred twenty-three thousand, six hundred eighty".