7685678224 has 135 divisors (see below), whose sum is σ = 18077963193. Its totient is φ = 3156048000.

The previous prime is 7685678207. The next prime is 7685678237. The reversal of 7685678224 is 4228765867.

The square root of 7685678224 is 87668.

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., 7384308624 + 301369600 = 85932^2 + 17360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76095774 + ... + 76095874.

Almost surely, 2^7685678224 is an apocalyptic number.

7685678224 is the 87668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7685678224

7685678224 is an abundant number, since it is smaller than the sum of its proper divisors (10392284969).

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

7685678224 is a wasteful number, since it uses less digits than its factorization.

7685678224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 141 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 55.

The cubic root of 7685678224 is about 1973.4557794221.

The spelling of 7685678224 in words is "seven billion, six hundred eighty-five million, six hundred seventy-eight thousand, two hundred twenty-four".