8032973062500 has 189 divisors, whose sum is σ = 25388356880341. Its totient is φ = 2141559300000.

The previous prime is 8032973062489. The next prime is 8032973062523. The reversal of 8032973062500 is 52603792308.

The square root of 8032973062500 is 2834250.

It is a perfect power (a square), and thus also a powerful number.

8032973062500 is a `hidden beast` number, since 8 + 0 + 3 + 2 + 97 + 306 + 250 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7037655568164 + 995317494336 = 2652858^2 + 997656^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2125685611 + ... + 2125689389.

Almost surely, 2^{8032973062500} is an apocalyptic number.

8032973062500 is the 2834250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8032973062500

8032973062500 is an abundant number, since it is smaller than the sum of its proper divisors (17355383817841).

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

8032973062500 is an frugal number, since it uses more digits than its factorization.

8032973062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 8032973062500 in words is "eight trillion, thirty-two billion, nine hundred seventy-three million, sixty-two thousand, five hundred".