6730128000 has 448 divisors, whose sum is σ = 25131174120. Its totient is φ = 1791590400.

The previous prime is 6730127969. The next prime is 6730128037. The reversal of 6730128000 is 8210376.

It can be written as a sum of positive squares in 4 ways, for example, as 4283440704 + 2446687296 = 65448^2 + 49464^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11663712 + ... + 11664288.

Almost surely, 2^6730128000 is an apocalyptic number.

6730128000 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 6730128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565587060).

6730128000 is an abundant number, since it is smaller than the sum of its proper divisors (18401046120).

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

6730128000 is an frugal number, since it uses more digits than its factorization.

6730128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6730128000 is about 82037.3573440783. The cubic root of 6730128000 is about 1888.0251480898.

Adding to 6730128000 its reverse (8210376), we get a palindrome (6738338376).

The spelling of 6730128000 in words is "six billion, seven hundred thirty million, one hundred twenty-eight thousand".