7872637095684 has 135 divisors (see below), whose sum is σ = 20807935524453. Its totient is φ = 2595542476032.

The previous prime is 7872637095641. The next prime is 7872637095689. The reversal of 7872637095684 is 4865907362787.

The square root of 7872637095684 is 2805822.

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

7872637095684 is a `hidden beast` number, since 7 + 8 + 7 + 26 + 37 + 0 + 9 + 568 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3535114436100 + 4337522659584 = 1880190^2 + 2082672^2 .

It is not an unprimeable number, because it can be changed into a prime (7872637095689) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4898964409 + ... + 4898966015.

Almost surely, 2^{7872637095684} is an apocalyptic number.

7872637095684 is the 2805822-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7872637095684

7872637095684 is an abundant number, since it is smaller than the sum of its proper divisors (12935298428769).

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

7872637095684 is an frugal number, since it uses more digits than its factorization.

7872637095684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 7872637095684 in words is "seven trillion, eight hundred seventy-two billion, six hundred thirty-seven million, ninety-five thousand, six hundred eighty-four".