6721104000 has 256 divisors, whose sum is σ = 23996568960. Its totient is φ = 1654272000.

The previous prime is 6721103959. The next prime is 6721104007. The reversal of 6721104000 is 4011276.

It is not an unprimeable number, because it can be changed into a prime (6721104007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618615 + ... + 629385.

Almost surely, 2^6721104000 is an apocalyptic number.

6721104000 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 6721104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11998284480).

6721104000 is an abundant number, since it is smaller than the sum of its proper divisors (17275464960).

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

6721104000 is a wasteful number, since it uses less digits than its factorization.

6721104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 6721104000 is about 81982.3395616397. The cubic root of 6721104000 is about 1887.1809264314.

Adding to 6721104000 its reverse (4011276), we get a palindrome (6725115276).

The spelling of 6721104000 in words is "six billion, seven hundred twenty-one million, one hundred four thousand".