461686543718400 has 6912 divisors, whose sum is σ = 2344806172800000. Its totient is φ = 88412199321600.

The previous prime is 461686543718363. The next prime is 461686543718417. The reversal of 461686543718400 is 4817345686164.

461686543718400 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 8 + 6 + 543 + 7 + 1 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-5 number, since 5×461686543718400⁵ (a number of 75 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 745858713291 + ... + 745858713909.

Almost surely, 2^{461686543718400} is an apocalyptic number.

461686543718400 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 461686543718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172403086400000).

461686543718400 is an abundant number, since it is smaller than the sum of its proper divisors (1883119629081600).

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

461686543718400 is a wasteful number, since it uses less digits than its factorization.

461686543718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 461686543718400 in words is "four hundred sixty-one trillion, six hundred eighty-six billion, five hundred forty-three million, seven hundred eighteen thousand, four hundred".