6725737600 has 192 divisors, whose sum is σ = 17129439360. Its totient is φ = 2608148480.

The previous prime is 6725737583. The next prime is 6725737609. The reversal of 6725737600 is 67375276.

It is not an unprimeable number, because it can be changed into a prime (6725737609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29628687 + ... + 29628913.

It is an arithmetic number, because the mean of its divisors is an integer number (89215830).

Almost surely, 2^6725737600 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 6725737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564719680).

6725737600 is an abundant number, since it is smaller than the sum of its proper divisors (10403701760).

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

6725737600 is a wasteful number, since it uses less digits than its factorization.

6725737600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 43.

The square root of 6725737600 is about 82010.5944375481. The cubic root of 6725737600 is about 1887.6145076212.

The spelling of 6725737600 in words is "six billion, seven hundred twenty-five million, seven hundred thirty-seven thousand, six hundred".