7413072560 has 80 divisors (see below), whose sum is σ = 17471203200. Its totient is φ = 2924909568.

The previous prime is 7413072559. The next prime is 7413072587. The reversal of 7413072560 is 652703147.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7413072560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2082302 + ... + 2085858.

It is an arithmetic number, because the mean of its divisors is an integer number (218390040).

Almost surely, 2^7413072560 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 7413072560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8735601600).

7413072560 is an abundant number, since it is smaller than the sum of its proper divisors (10058130640).

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

7413072560 is a wasteful number, since it uses less digits than its factorization.

7413072560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 7413072560 is about 86099.2018546049. The cubic root of 7413072560 is about 1949.8419823740.

The spelling of 7413072560 in words is "seven billion, four hundred thirteen million, seventy-two thousand, five hundred sixty".