466428824664 has 32 divisors (see below), whose sum is σ = 1272078613440. Its totient is φ = 141342068000.

The previous prime is 466428824663. The next prime is 466428824707.

466428824664 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 466428824598 and 466428824607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466428824663) 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, 883387662 + ... + 883388189.

It is an arithmetic number, because the mean of its divisors is an integer number (39752456670).

Almost surely, 2^466428824664 is an apocalyptic number.

466428824664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466428824664 is an abundant number, since it is smaller than the sum of its proper divisors (805649788776).

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

466428824664 is a wasteful number, since it uses less digits than its factorization.

466428824664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766775871 (or 1766775867 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 60.

The spelling of 466428824664 in words is "four hundred sixty-six billion, four hundred twenty-eight million, eight hundred twenty-four thousand, six hundred sixty-four".