6725385691200 has 1008 divisors, whose sum is σ = 26750738057472. Its totient is φ = 1588446720000.

The previous prime is 6725385691177. The next prime is 6725385691201. The reversal of 6725385691200 is 21965835276.

6725385691200 is a `hidden beast` number, since 6 + 7 + 2 + 53 + 8 + 569 + 1 + 20 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6725385691201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3344298195 + ... + 3344300205.

Almost surely, 2^{6725385691200} is an apocalyptic number.

6725385691200 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 6725385691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13375369028736).

6725385691200 is an abundant number, since it is smaller than the sum of its proper divisors (20025352366272).

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

6725385691200 is a wasteful number, since it uses less digits than its factorization.

6725385691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 6725385691200 in words is "six trillion, seven hundred twenty-five billion, three hundred eighty-five million, six hundred ninety-one thousand, two hundred".