6682305600 has 588 divisors, whose sum is σ = 26180309844. Its totient is φ = 1672151040.

The previous prime is 6682305593. The next prime is 6682305629. The reversal of 6682305600 is 65032866.

6682305600 is a `hidden beast` number, since 6 + 68 + 2 + 30 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 86266944 + 6596038656 = 9288^2 + 81216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19828632 + ... + 19828968.

Almost surely, 2^6682305600 is an apocalyptic number.

6682305600 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 6682305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090154922).

6682305600 is an abundant number, since it is smaller than the sum of its proper divisors (19498004244).

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

6682305600 is a wasteful number, since it uses less digits than its factorization.

6682305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6682305600 is about 81745.3705111182. The cubic root of 6682305600 is about 1883.5425884562.

The spelling of 6682305600 in words is "six billion, six hundred eighty-two million, three hundred five thousand, six hundred".