6727872000 has 320 divisors, whose sum is σ = 22745758464. Its totient is φ = 1763942400.

The previous prime is 6727871987. The next prime is 6727872001. The reversal of 6727872000 is 2787276.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 6727872000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6727872001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12863739 + ... + 12864261.

Almost surely, 2^6727872000 is an apocalyptic number.

6727872000 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 6727872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11372879232).

6727872000 is an abundant number, since it is smaller than the sum of its proper divisors (16017886464).

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

6727872000 is an equidigital number, since it uses as much as digits as its factorization.

6727872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 6727872000 is about 82023.6063581698. The cubic root of 6727872000 is about 1887.8141634572.

The spelling of 6727872000 in words is "six billion, seven hundred twenty-seven million, eight hundred seventy-two thousand".