6725360252520 has 2688 divisors, whose sum is σ = 30600026726400. Its totient is φ = 1296999475200.

The previous prime is 6725360252483. The next prime is 6725360252521. The reversal of 6725360252520 is 252520635276.

6725360252520 is a `hidden beast` number, since 6 + 72 + 5 + 3 + 6 + 0 + 2 + 52 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6725360252521) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 20318308755 + ... + 20318309085.

Almost surely, 2^{6725360252520} is an apocalyptic number.

6725360252520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6725360252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300013363200).

6725360252520 is an abundant number, since it is smaller than the sum of its proper divisors (23874666473880).

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

6725360252520 is a wasteful number, since it uses less digits than its factorization.

6725360252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

Adding to 6725360252520 its reverse (252520635276), we get a palindrome (6977880887796).

The spelling of 6725360252520 in words is "six trillion, seven hundred twenty-five billion, three hundred sixty million, two hundred fifty-two thousand, five hundred twenty".