461643256640 has 112 divisors (see below), whose sum is σ = 1122933187200. Its totient is φ = 180715898880.

The previous prime is 461643256561. The next prime is 461643256673. The reversal of 461643256640 is 46652346164.

It is a super-2 number, since 2×461643256640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3825059 + ... + 3943901.

Almost surely, 2^461643256640 is an apocalyptic number.

461643256640 is a gapful number since it is divisible by the number (40) 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 461643256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561466593600).

461643256640 is an abundant number, since it is smaller than the sum of its proper divisors (661289930560).

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

461643256640 is a wasteful number, since it uses less digits than its factorization.

461643256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119120 (or 119110 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 461643256640 in words is "four hundred sixty-one billion, six hundred forty-three million, two hundred fifty-six thousand, six hundred forty".