466956659664 has 240 divisors, whose sum is σ = 1441435492224. Its totient is φ = 139936896000.

The previous prime is 466956659623. The next prime is 466956659699.

466956659664 is a `hidden beast` number, since 4 + 6 + 6 + 9 + 566 + 59 + 6 + 6 + 4 = 666.

466956659664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 466956659592 and 466956659601.

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 47 ways as a sum of consecutive naturals, for example, 261892917 + ... + 261894699.

Almost surely, 2^466956659664 is an apocalyptic number.

466956659664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466956659664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720717746112).

466956659664 is an abundant number, since it is smaller than the sum of its proper divisors (974478832560).

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

466956659664 is a wasteful number, since it uses less digits than its factorization.

466956659664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3537 counting only the distinct ones).

The product of its digits is 1511654400, while the sum is 72.

The spelling of 466956659664 in words is "four hundred sixty-six billion, nine hundred fifty-six million, six hundred fifty-nine thousand, six hundred sixty-four".