461827684496640 has 576 divisors, whose sum is σ = 1888614290626560. Its totient is φ = 93370565099520.

The previous prime is 461827684496617. The next prime is 461827684496657. The reversal of 461827684496640 is 46694486728164.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10166830 + ... + 32047149.

It is an arithmetic number, because the mean of its divisors is an integer number (3278844254560).

Almost surely, 2^{461827684496640} is an apocalyptic number.

461827684496640 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 461827684496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944307145313280).

461827684496640 is an abundant number, since it is smaller than the sum of its proper divisors (1426786606129920).

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

461827684496640 is a wasteful number, since it uses less digits than its factorization.

461827684496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42214058 (or 42214044 counting only the distinct ones).

The product of its (nonzero) digits is 2675441664, while the sum is 75.

The spelling of 461827684496640 in words is "four hundred sixty-one trillion, eight hundred twenty-seven billion, six hundred eighty-four million, four hundred ninety-six thousand, six hundred forty".