6721105600 has 336 divisors, whose sum is σ = 19275552000. Its totient is φ = 2280960000.

The previous prime is 6721105561. The next prime is 6721105607. The reversal of 6721105600 is 65011276.

It is not an unprimeable number, because it can be changed into a prime (6721105607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33774301 + ... + 33774499.

Almost surely, 2^6721105600 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 6721105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9637776000).

6721105600 is an abundant number, since it is smaller than the sum of its proper divisors (12554446400).

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

6721105600 is a wasteful number, since it uses less digits than its factorization.

6721105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 6721105600 is about 81982.3493198384. The cubic root of 6721105600 is about 1887.1810761831.

Adding to 6721105600 its reverse (65011276), we get a palindrome (6786116876).

The spelling of 6721105600 in words is "six billion, seven hundred twenty-one million, one hundred five thousand, six hundred".