7689185344 has 63 divisors (see below), whose sum is σ = 15554792487. Its totient is φ = 3771285504.

The previous prime is 7689185333. The next prime is 7689185351. The reversal of 7689185344 is 4435819867.

The square root of 7689185344 is 87688.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3216250944 + 4472934400 = 56712^2 + 66880^2 .

It is a Duffinian number.

Its product of digits (5806080) is a multiple of the sum of its prime factors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68045832 + ... + 68045944.

Almost surely, 2^7689185344 is an apocalyptic number.

7689185344 is the 87688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7689185344

7689185344 is an abundant number, since it is smaller than the sum of its proper divisors (7865607143).

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

7689185344 is an frugal number, since it uses more digits than its factorization.

7689185344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 212 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The cubic root of 7689185344 is about 1973.7559088121.

It can be divided in two parts, 7689185 and 344, that added together give a square (7689529 = 2773²).

The spelling of 7689185344 in words is "seven billion, six hundred eighty-nine million, one hundred eighty-five thousand, three hundred forty-four".