461979167910 has 128 divisors (see below), whose sum is σ = 1209373925760. Its totient is φ = 112265035776.

The previous prime is 461979167843. The next prime is 461979167921. The reversal of 461979167910 is 19761979164.

It is a super-3 number, since 3×461979167910³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11755654 + ... + 11794886.

It is an arithmetic number, because the mean of its divisors is an integer number (9448233795).

Almost surely, 2^461979167910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461979167910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604686962880).

461979167910 is an abundant number, since it is smaller than the sum of its proper divisors (747394757850).

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

461979167910 is a wasteful number, since it uses less digits than its factorization.

461979167910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39642.

The product of its (nonzero) digits is 5143824, while the sum is 60.

The spelling of 461979167910 in words is "four hundred sixty-one billion, nine hundred seventy-nine million, one hundred sixty-seven thousand, nine hundred ten".