8729082068004 has 63 divisors (see below), whose sum is σ = 22903781752033. Its totient is φ = 2909640841632.

The previous prime is 8729082067973. The next prime is 8729082068009. The reversal of 8729082068004 is 4008602809278.

The square root of 8729082068004 is 2954502.

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., 2951558360100 + 5777523707904 = 1718010^2 + 2403648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8729082068009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 159515752 + ... + 159570464.

Almost surely, 2^{8729082068004} is an apocalyptic number.

8729082068004 is the 2954502-nd square number.

It is an amenable number.

8729082068004 is an abundant number, since it is smaller than the sum of its proper divisors (14174699684029).

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

8729082068004 is an frugal number, since it uses more digits than its factorization.

8729082068004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109448 (or 54718 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8729082068004 in words is "eight trillion, seven hundred twenty-nine billion, eighty-two million, sixty-eight thousand, four".