461722060800 has 2916 divisors, whose sum is σ = 2289478337055. Its totient is φ = 88562073600.

The previous prime is 461722060799. The next prime is 461722060883. The reversal of 461722060800 is 8060227164.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

461722060800 is a `hidden beast` number, since 46 + 1 + 7 + 2 + 2 + 0 + 608 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 28905440256 + 432816620544 = 170016^2 + 657888^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=480480.

It is a super-2 number, since 2×461722060800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 35517081594 + ... + 35517081606.

Almost surely, 2^461722060800 is an apocalyptic number.

461722060800 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 461722060800

461722060800 is an abundant number, since it is smaller than the sum of its proper divisors (1827756276255).

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

461722060800 is a wasteful number, since it uses less digits than its factorization.

461722060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 461722060800 its reverse (8060227164), we get a palindrome (469782287964).

The spelling of 461722060800 in words is "four hundred sixty-one billion, seven hundred twenty-two million, sixty thousand, eight hundred".