6461665800 has 96 divisors (see below), whose sum is σ = 20218572000. Its totient is φ = 1706990080.

The previous prime is 6461665759. The next prime is 6461665807. The reversal of 6461665800 is 85661646.

It is not an unprimeable number, because it can be changed into a prime (6461665807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13876 + ... + 114524.

It is an arithmetic number, because the mean of its divisors is an integer number (210610125).

Almost surely, 2^6461665800 is an apocalyptic number.

6461665800 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 6461665800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10109286000).

6461665800 is an abundant number, since it is smaller than the sum of its proper divisors (13756906200).

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

6461665800 is a wasteful number, since it uses less digits than its factorization.

6461665800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100775 (or 100766 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6461665800 is about 80384.4873094305. The cubic root of 6461665800 is about 1862.5795518774.

The spelling of 6461665800 in words is "six billion, four hundred sixty-one million, six hundred sixty-five thousand, eight hundred".