461630806560 has 1920 divisors, whose sum is σ = 2168727644160. Its totient is φ = 89579520000.

The previous prime is 461630806537. The next prime is 461630806577. The reversal of 461630806560 is 65608036164.

461630806560 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 3 + 0 + 80 + 6 + 560 = 666.

It is a super-2 number, since 2×461630806560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1839166435 + ... + 1839166685.

It is an arithmetic number, because the mean of its divisors is an integer number (1129545648).

Almost surely, 2^461630806560 is an apocalyptic number.

461630806560 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 461630806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084363822080).

461630806560 is an abundant number, since it is smaller than the sum of its proper divisors (1707096837600).

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

461630806560 is a wasteful number, since it uses less digits than its factorization.

461630806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 461630806560 in words is "four hundred sixty-one billion, six hundred thirty million, eight hundred six thousand, five hundred sixty".