6284728108096 has 63 divisors (see below), whose sum is σ = 13162983819141. Its totient is φ = 2976795972864.

The previous prime is 6284728108091. The next prime is 6284728108171. The reversal of 6284728108096 is 6908018274826.

The square root of 6284728108096 is 2506936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 170304782400 + 6114423325696 = 412680^2 + 2472736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6284728108091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 381046026 + ... + 381062518.

Almost surely, 2^{6284728108096} is an apocalyptic number.

6284728108096 is the 2506936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6284728108096

6284728108096 is an abundant number, since it is smaller than the sum of its proper divisors (6878255711045).

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

6284728108096 is an frugal number, since it uses more digits than its factorization.

6284728108096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33036 (or 16514 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 6284728108096 in words is "six trillion, two hundred eighty-four billion, seven hundred twenty-eight million, one hundred eight thousand, ninety-six".