6599983680 has 280 divisors, whose sum is σ = 23749391160. Its totient is φ = 1739612160.

The previous prime is 6599983679. The next prime is 6599983711. The reversal of 6599983680 is 863899956.

6599983680 is a `hidden beast` number, since 6 + 599 + 9 + 8 + 36 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 224280576 + 6375703104 = 14976^2 + 79848^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2305450 + ... + 2308310.

Almost surely, 2^6599983680 is an apocalyptic number.

6599983680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6599983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874695580).

6599983680 is an abundant number, since it is smaller than the sum of its proper divisors (17149407480).

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

6599983680 is a wasteful number, since it uses less digits than its factorization.

6599983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The square root of 6599983680 is about 81240.2836036409. The cubic root of 6599983680 is about 1875.7759092703.

The spelling of 6599983680 in words is "six billion, five hundred ninety-nine million, nine hundred eighty-three thousand, six hundred eighty".