461767066420 has 192 divisors, whose sum is σ = 1108301709312. Its totient is φ = 160088832000.

The previous prime is 461767066391. The next prime is 461767066433. The reversal of 461767066420 is 24660767164.

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, 139378684 + ... + 139381996.

It is an arithmetic number, because the mean of its divisors is an integer number (5772404736).

Almost surely, 2^461767066420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461767066420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554150854656).

461767066420 is an abundant number, since it is smaller than the sum of its proper divisors (646534642892).

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

461767066420 is a wasteful number, since it uses less digits than its factorization.

461767066420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 461767066420 in words is "four hundred sixty-one billion, seven hundred sixty-seven million, sixty-six thousand, four hundred twenty".