7345173472560 has 960 divisors, whose sum is σ = 32394669465600. Its totient is φ = 1477018368000.

The previous prime is 7345173472543. The next prime is 7345173472601. The reversal of 7345173472560 is 652743715437.

7345173472560 is a `hidden beast` number, since 7 + 3 + 4 + 5 + 1 + 7 + 3 + 4 + 72 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7345173472497 and 7345173472506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84169750 + ... + 84256970.

It is an arithmetic number, because the mean of its divisors is an integer number (33744447360).

Almost surely, 2^{7345173472560} is an apocalyptic number.

7345173472560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7345173472560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16197334732800).

7345173472560 is an abundant number, since it is smaller than the sum of its proper divisors (25049495993040).

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

7345173472560 is a wasteful number, since it uses less digits than its factorization.

7345173472560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87303 (or 87280 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 7345173472560 in words is "seven trillion, three hundred forty-five billion, one hundred seventy-three million, four hundred seventy-two thousand, five hundred sixty".