7545680560 has 80 divisors (see below), whose sum is σ = 19245911040. Its totient is φ = 2728497920.

The previous prime is 7545680557. The next prime is 7545680563. The reversal of 7545680560 is 650865457.

It is an interprime number because it is at equal distance from previous prime (7545680557) and next prime (7545680563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7545680560² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7545680560.

It is not an unprimeable number, because it can be changed into a prime (7545680563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133569 + ... + 181471.

It is an arithmetic number, because the mean of its divisors is an integer number (240573888).

Almost surely, 2^7545680560 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 7545680560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9622955520).

7545680560 is an abundant number, since it is smaller than the sum of its proper divisors (11700230480).

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

7545680560 is a wasteful number, since it uses less digits than its factorization.

7545680560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48106 (or 48100 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The square root of 7545680560 is about 86865.8768447081. The cubic root of 7545680560 is about 1961.3998537818.

The spelling of 7545680560 in words is "seven billion, five hundred forty-five million, six hundred eighty thousand, five hundred sixty".