7305661120 has 224 divisors, whose sum is σ = 19356019200. Its totient is φ = 2613878784.

The previous prime is 7305661109. The next prime is 7305661123. The reversal of 7305661120 is 211665037.

It is not an unprimeable number, because it can be changed into a prime (7305661123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12445467 + ... + 12446053.

It is an arithmetic number, because the mean of its divisors is an integer number (86410800).

Almost surely, 2^7305661120 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 7305661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9678009600).

7305661120 is an abundant number, since it is smaller than the sum of its proper divisors (12050358080).

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

7305661120 is a wasteful number, since it uses less digits than its factorization.

7305661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 7305661120 is about 85473.1602317359. The cubic root of 7305661120 is about 1940.3787406649.

The spelling of 7305661120 in words is "seven billion, three hundred five million, six hundred sixty-one thousand, one hundred twenty".