6513728000 has 160 divisors (see below), whose sum is σ = 17494036560. Its totient is φ = 2404761600.

The previous prime is 6513727943. The next prime is 6513728009. The reversal of 6513728000 is 8273156.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 319408384 + 6194319616 = 17872^2 + 78704^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (6513728009) 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 15 ways as a sum of consecutive naturals, for example, 828086 + ... + 835914.

Almost surely, 2^6513728000 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 6513728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747018280).

6513728000 is an abundant number, since it is smaller than the sum of its proper divisors (10980308560).

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

6513728000 is an equidigital number, since it uses as much as digits as its factorization.

6513728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 6513728000 is about 80707.6700196456. The cubic root of 6513728000 is about 1867.5684984734.

The spelling of 6513728000 in words is "six billion, five hundred thirteen million, seven hundred twenty-eight thousand".