461979345760 has 48 divisors (see below), whose sum is σ = 1091472940656. Its totient is φ = 184783825408.

The previous prime is 461979345713. The next prime is 461979345769. The reversal of 461979345760 is 67543979164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461979345769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4954287 + ... + 5046673.

It is an arithmetic number, because the mean of its divisors is an integer number (22739019597).

Almost surely, 2^461979345760 is an apocalyptic number.

461979345760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461979345760 is an abundant number, since it is smaller than the sum of its proper divisors (629493594896).

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

461979345760 is a wasteful number, since it uses less digits than its factorization.

461979345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123655 (or 123647 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 461979345760 in words is "four hundred sixty-one billion, nine hundred seventy-nine million, three hundred forty-five thousand, seven hundred sixty".