7692871680 has 288 divisors, whose sum is σ = 28717514280. Its totient is φ = 1893335040.

The previous prime is 7692871657. The next prime is 7692871691. The reversal of 7692871680 is 861782967.

It can be written as a sum of positive squares in 4 ways, for example, as 3929785344 + 3763086336 = 62688^2 + 61344^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194870 + ... + 1201290.

Almost surely, 2^7692871680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7692871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358757140).

7692871680 is an abundant number, since it is smaller than the sum of its proper divisors (21024642600).

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

7692871680 is a wasteful number, since it uses less digits than its factorization.

7692871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 7692871680 is about 87709.0170963054. The cubic root of 7692871680 is about 1974.0712766397.

The spelling of 7692871680 in words is "seven billion, six hundred ninety-two million, eight hundred seventy-one thousand, six hundred eighty".