7683693984 has 72 divisors (see below), whose sum is σ = 21997275300. Its totient is φ = 2544027648.

The previous prime is 7683693977. The next prime is 7683694009. The reversal of 7683693984 is 4893963867.

It can be written as a sum of positive squares in 2 ways, for example, as 6609690000 + 1074003984 = 81300^2 + 32772^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46617 + ... + 132440.

Almost surely, 2^7683693984 is an apocalyptic number.

It is an amenable number.

7683693984 is an abundant number, since it is smaller than the sum of its proper divisors (14313581316).

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

7683693984 is a wasteful number, since it uses less digits than its factorization.

7683693984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179222 (or 179211 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 7683693984 is about 87656.6824834251. The cubic root of 7683693984 is about 1973.2859333432.

It can be divided in two parts, 76836 and 93984, that added together give a triangular number (170820 = T₅₈₄).

The spelling of 7683693984 in words is "seven billion, six hundred eighty-three million, six hundred ninety-three thousand, nine hundred eighty-four".