7258096560 has 320 divisors, whose sum is σ = 26778286080. Its totient is φ = 1603031040.

The previous prime is 7258096537. The next prime is 7258096567. The reversal of 7258096560 is 656908527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7258096567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2709942 + ... + 2712618.

It is an arithmetic number, because the mean of its divisors is an integer number (83682144).

Almost surely, 2^7258096560 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 7258096560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13389143040).

7258096560 is an abundant number, since it is smaller than the sum of its proper divisors (19520189520).

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

7258096560 is a wasteful number, since it uses less digits than its factorization.

7258096560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 7258096560 is about 85194.4632003747. The cubic root of 7258096560 is about 1936.1585300937.

The spelling of 7258096560 in words is "seven billion, two hundred fifty-eight million, ninety-six thousand, five hundred sixty".