7130073600 has 900 divisors, whose sum is σ = 29708167566. Its totient is φ = 1678786560.

The previous prime is 7130073569. The next prime is 7130073611. The reversal of 7130073600 is 63700317.

It can be written as a sum of positive squares in 3 ways, for example, as 3959933184 + 3170140416 = 62928^2 + 56304^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 310003189 + ... + 310003211.

Almost surely, 2^7130073600 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 7130073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14854083783).

7130073600 is an abundant number, since it is smaller than the sum of its proper divisors (22578093966).

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

7130073600 is a wasteful number, since it uses less digits than its factorization.

7130073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 7130073600 is about 84439.7631450965. The cubic root of 7130073600 is about 1924.7072000831.

Adding to 7130073600 its reverse (63700317), we get a palindrome (7193773917).

The spelling of 7130073600 in words is "seven billion, one hundred thirty million, seventy-three thousand, six hundred".