466235672742 has 192 divisors, whose sum is σ = 1237317120000. Its totient is φ = 123912794304.

The previous prime is 466235672677. The next prime is 466235672779. The reversal of 466235672742 is 247276532664.

466235672742 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 3 + 567 + 2 + 74 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172742509 + ... + 172745207.

It is an arithmetic number, because the mean of its divisors is an integer number (6444360000).

Almost surely, 2^466235672742 is an apocalyptic number.

466235672742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 466235672742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618658560000).

466235672742 is an abundant number, since it is smaller than the sum of its proper divisors (771081447258).

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

466235672742 is a wasteful number, since it uses less digits than its factorization.

466235672742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4012 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 466235672742 in words is "four hundred sixty-six billion, two hundred thirty-five million, six hundred seventy-two thousand, seven hundred forty-two".