6725360488900 has 243 divisors, whose sum is σ = 15450841721511. Its totient is φ = 2540882494080.

The previous prime is 6725360488883. The next prime is 6725360488909. The reversal of 6725360488900 is 98840635276.

The square root of 6725360488900 is 2593330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 638442548676 + 6086917940224 = 799026^2 + 2467168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6725360488909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41259880219 + ... + 41259880381.

Almost surely, 2^{6725360488900} is an apocalyptic number.

6725360488900 is the 2593330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6725360488900

6725360488900 is an abundant number, since it is smaller than the sum of its proper divisors (8725481232611).

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

6725360488900 is a wasteful number, since it uses less digits than its factorization.

6725360488900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 6725360488900 in words is "six trillion, seven hundred twenty-five billion, three hundred sixty million, four hundred eighty-eight thousand, nine hundred".