6755328000 has 336 divisors, whose sum is σ = 24386947416. Its totient is φ = 1798963200.

The previous prime is 6755327989. The next prime is 6755328023. The reversal of 6755328000 is 8235576.

It can be written as a sum of positive squares in 4 ways, for example, as 4087812096 + 2667515904 = 63936^2 + 51648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215634 + ... + 9216366.

Almost surely, 2^6755328000 is an apocalyptic number.

6755328000 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 6755328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193473708).

6755328000 is an abundant number, since it is smaller than the sum of its proper divisors (17631619416).

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

6755328000 is an equidigital number, since it uses as much as digits as its factorization.

6755328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6755328000 is about 82190.8024051353. The cubic root of 6755328000 is about 1890.3786929090.

The spelling of 6755328000 in words is "six billion, seven hundred fifty-five million, three hundred twenty-eight thousand".