461631840768 has 800 divisors, whose sum is σ = 1673150054400. Its totient is φ = 123780980736.

The previous prime is 461631840763. The next prime is 461631840841. The reversal of 461631840768 is 867048136164.

461631840768 is a `hidden beast` number, since 4 + 6 + 163 + 18 + 407 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (461631840763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 700503223 + ... + 700503881.

It is an arithmetic number, because the mean of its divisors is an integer number (2091437568).

Almost surely, 2^461631840768 is an apocalyptic number.

461631840768 is a gapful number since it is divisible by the number (48) 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 461631840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836575027200).

461631840768 is an abundant number, since it is smaller than the sum of its proper divisors (1211518213632).

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

461631840768 is a wasteful number, since it uses less digits than its factorization.

461631840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 461631840768 in words is "four hundred sixty-one billion, six hundred thirty-one million, eight hundred forty thousand, seven hundred sixty-eight".