6218082000 has 240 divisors, whose sum is σ = 23389159248. Its totient is φ = 1530547200.

The previous prime is 6218081977. The next prime is 6218082007. The reversal of 6218082000 is 2808126.

It can be written as a sum of positive squares in 8 ways, for example, as 1035809856 + 5182272144 = 32184^2 + 71988^2 .

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 (6218082007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220714 + ... + 247286.

Almost surely, 2^6218082000 is an apocalyptic number.

6218082000 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 6218082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694579624).

6218082000 is an abundant number, since it is smaller than the sum of its proper divisors (17171077248).

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

6218082000 is a wasteful number, since it uses less digits than its factorization.

6218082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26615 (or 26596 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6218082000 is about 78854.8159594581. The cubic root of 6218082000 is about 1838.8747451963.

The spelling of 6218082000 in words is "six billion, two hundred eighteen million, eighty-two thousand".