461633732560 has 640 divisors, whose sum is σ = 1529502105600. Its totient is φ = 124784271360.

The previous prime is 461633732513. The next prime is 461633732603. The reversal of 461633732560 is 65237336164.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 461633732560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193231846 + ... + 193234234.

It is an arithmetic number, because the mean of its divisors is an integer number (2389847040).

Almost surely, 2^461633732560 is an apocalyptic number.

461633732560 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 461633732560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764751052800).

461633732560 is an abundant number, since it is smaller than the sum of its proper divisors (1067868373040).

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

461633732560 is a wasteful number, since it uses less digits than its factorization.

461633732560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 46.

The spelling of 461633732560 in words is "four hundred sixty-one billion, six hundred thirty-three million, seven hundred thirty-two thousand, five hundred sixty".