7683216336 has 160 divisors (see below), whose sum is σ = 22635694080. Its totient is φ = 2494041984.

The previous prime is 7683216313. The next prime is 7683216341. The reversal of 7683216336 is 6336123867.

7683216336 is a `hidden beast` number, since 7 + 6 + 8 + 3 + 2 + 1 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7683216291 and 7683216300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4608175 + ... + 4609841.

It is an arithmetic number, because the mean of its divisors is an integer number (141473088).

Almost surely, 2^7683216336 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 7683216336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317847040).

7683216336 is an abundant number, since it is smaller than the sum of its proper divisors (14952477744).

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

7683216336 is a wasteful number, since it uses less digits than its factorization.

7683216336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1946 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 7683216336 is about 87653.9579026526. The cubic root of 7683216336 is about 1973.2450434790.

The spelling of 7683216336 in words is "seven billion, six hundred eighty-three million, two hundred sixteen thousand, three hundred thirty-six".