7242583080960 has 1152 divisors, whose sum is σ = 27368161526160. Its totient is φ = 1765407719424.

The previous prime is 7242583080947. The next prime is 7242583080961. The reversal of 7242583080960 is 690803852427.

7242583080960 is a `hidden beast` number, since 7 + 2 + 425 + 83 + 0 + 80 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 7242583080897 and 7242583080906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7242583080961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87260037079 + ... + 87260037161.

Almost surely, 2^{7242583080960} 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 7242583080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684080763080).

7242583080960 is an abundant number, since it is smaller than the sum of its proper divisors (20125578445200).

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

7242583080960 is an equidigital number, since it uses as much as digits as its factorization.

7242583080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 7242583080960 in words is "seven trillion, two hundred forty-two billion, five hundred eighty-three million, eighty thousand, nine hundred sixty".