461460784680 has 576 divisors, whose sum is σ = 1916637840000. Its totient is φ = 94044561408.

The previous prime is 461460784667. The next prime is 461460784721. The reversal of 461460784680 is 86487064164.

461460784680 is a `hidden beast` number, since 4 + 61 + 460 + 7 + 8 + 46 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13820646 + ... + 13853994.

It is an arithmetic number, because the mean of its divisors is an integer number (3327496250).

Almost surely, 2^461460784680 is an apocalyptic number.

461460784680 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 461460784680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958318920000).

461460784680 is an abundant number, since it is smaller than the sum of its proper divisors (1455177055320).

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

461460784680 is a wasteful number, since it uses less digits than its factorization.

461460784680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33426 (or 33402 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 461460784680 in words is "four hundred sixty-one billion, four hundred sixty million, seven hundred eighty-four thousand, six hundred eighty".