466106516790 has 192 divisors, whose sum is σ = 1247805388800. Its totient is φ = 111083723520.

The previous prime is 466106516773. The next prime is 466106516801. The reversal of 466106516790 is 97615601664.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 19217491 + ... + 19241729.

It is an arithmetic number, because the mean of its divisors is an integer number (6498986400).

Almost surely, 2^466106516790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466106516790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623902694400).

466106516790 is an abundant number, since it is smaller than the sum of its proper divisors (781698872010).

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

466106516790 is a wasteful number, since it uses less digits than its factorization.

466106516790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24363 (or 24332 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 466106516790 in words is "four hundred sixty-six billion, one hundred six million, five hundred sixteen thousand, seven hundred ninety".