6411085200 has 600 divisors, whose sum is σ = 25630192896. Its totient is φ = 1524096000.

The previous prime is 6411085157. The next prime is 6411085207. The reversal of 6411085200 is 25801146.

6411085200 is a `hidden beast` number, since 641 + 10 + 8 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×6411085200² = 82204026883318080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6411085207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13056955 + ... + 13057445.

Almost surely, 2^6411085200 is an apocalyptic number.

6411085200 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 6411085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12815096448).

6411085200 is an abundant number, since it is smaller than the sum of its proper divisors (19219107696).

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

6411085200 is a wasteful number, since it uses less digits than its factorization.

6411085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6411085200 is about 80069.2525255482. The cubic root of 6411085200 is about 1857.7068514143.

Adding to 6411085200 its reverse (25801146), we get a palindrome (6436886346).

The spelling of 6411085200 in words is "six billion, four hundred eleven million, eighty-five thousand, two hundred".