7281718560 has 336 divisors, whose sum is σ = 26018786304. Its totient is φ = 1924839936.

The previous prime is 7281718559. The next prime is 7281718573. The reversal of 7281718560 is 658171827.

It is a happy number.

7281718560 is a `hidden beast` number, since 7 + 2 + 81 + 7 + 1 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19012129 + ... + 19012511.

It is an arithmetic number, because the mean of its divisors is an integer number (77436864).

Almost surely, 2^7281718560 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 7281718560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009393152).

7281718560 is an abundant number, since it is smaller than the sum of its proper divisors (18737067744).

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

7281718560 is a wasteful number, since it uses less digits than its factorization.

7281718560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 7281718560 is about 85332.9863534612. The cubic root of 7281718560 is about 1938.2567114818.

The spelling of 7281718560 in words is "seven billion, two hundred eighty-one million, seven hundred eighteen thousand, five hundred sixty".