6461200110 has 128 divisors (see below), whose sum is σ = 16547328000. Its totient is φ = 1611740160.

The previous prime is 6461200063. The next prime is 6461200111. The reversal of 6461200110 is 110021646.

It is a super-2 number, since 2×6461200110² = 83494213722928024200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461200111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6158866 + ... + 6159914.

It is an arithmetic number, because the mean of its divisors is an integer number (129276000).

Almost surely, 2^6461200110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6461200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664000).

6461200110 is an abundant number, since it is smaller than the sum of its proper divisors (10086127890).

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

6461200110 is a wasteful number, since it uses less digits than its factorization.

6461200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 6461200110 is about 80381.5906162599. The cubic root of 6461200110 is about 1862.5348056496.

Adding to 6461200110 its reverse (110021646), we get a palindrome (6571221756).

The spelling of 6461200110 in words is "six billion, four hundred sixty-one million, two hundred thousand, one hundred ten".