6221682000 has 240 divisors, whose sum is σ = 21862975680. Its totient is φ = 1648992000.

The previous prime is 6221681957. The next prime is 6221682001. The reversal of 6221682000 is 2861226.

6221682000 is a `hidden beast` number, since 622 + 16 + 8 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6221682001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3221035 + ... + 3222965.

It is an arithmetic number, because the mean of its divisors is an integer number (91095732).

Almost surely, 2^6221682000 is an apocalyptic number.

6221682000 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 6221682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931487840).

6221682000 is an abundant number, since it is smaller than the sum of its proper divisors (15641293680).

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

6221682000 is a wasteful number, since it uses less digits than its factorization.

6221682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6221682000 is about 78877.6394170110. The cubic root of 6221682000 is about 1839.2295529939.

The spelling of 6221682000 in words is "six billion, two hundred twenty-one million, six hundred eighty-two thousand".