6461836200 has 288 divisors, whose sum is σ = 22841395200. Its totient is φ = 1633927680.

The previous prime is 6461836193. The next prime is 6461836207. The reversal of 6461836200 is 26381646.

6461836200 is a `hidden beast` number, since 6 + 4 + 618 + 36 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6461836193) and next prime (6461836207).

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

It is not an unprimeable number, because it can be changed into a prime (6461836207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5257186 + ... + 5258414.

It is an arithmetic number, because the mean of its divisors is an integer number (79310400).

Almost surely, 2^6461836200 is an apocalyptic number.

6461836200 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 6461836200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420697600).

6461836200 is an abundant number, since it is smaller than the sum of its proper divisors (16379559000).

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

6461836200 is a wasteful number, since it uses less digits than its factorization.

6461836200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6461836200 is about 80385.5472084379. The cubic root of 6461836200 is about 1862.5959243720.

The spelling of 6461836200 in words is "six billion, four hundred sixty-one million, eight hundred thirty-six thousand, two hundred".