7305666956 has 72 divisors (see below), whose sum is σ = 15404489856. Its totient is φ = 3019645440.

The previous prime is 7305666947. The next prime is 7305666971. The reversal of 7305666956 is 6596665037.

It is a junction number, because it is equal to n+sod(n) for n = 7305666898 and 7305666907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1924196 + ... + 1927988.

It is an arithmetic number, because the mean of its divisors is an integer number (213951248).

Almost surely, 2^7305666956 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 7305666956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702244928).

7305666956 is an abundant number, since it is smaller than the sum of its proper divisors (8098822900).

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

7305666956 is a wasteful number, since it uses less digits than its factorization.

7305666956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 53.

The square root of 7305666956 is about 85473.1943711009. The cubic root of 7305666956 is about 1940.3792573440.

The spelling of 7305666956 in words is "seven billion, three hundred five million, six hundred sixty-six thousand, nine hundred fifty-six".