7009145487360 has 384 divisors, whose sum is σ = 24521479983000. Its totient is φ = 1851915239424.

The previous prime is 7009145487353. The next prime is 7009145487401. The reversal of 7009145487360 is 637845419007.

7009145487360 is a `hidden beast` number, since 7 + 0 + 0 + 91 + 4 + 548 + 7 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4579736961024 + 2429408526336 = 2140032^2 + 1558656^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 7009145487297 and 7009145487306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160705236 + ... + 160748844.

Almost surely, 2^{7009145487360} 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 7009145487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12260739991500).

7009145487360 is an abundant number, since it is smaller than the sum of its proper divisors (17512334495640).

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

7009145487360 is a wasteful number, since it uses less digits than its factorization.

7009145487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43759 (or 43728 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 7009145487360 in words is "seven trillion, nine billion, one hundred forty-five million, four hundred eighty-seven thousand, three hundred sixty".