466799997664 has 384 divisors, whose sum is σ = 1314075571200. Its totient is φ = 157089300480.

The previous prime is 466799997659. The next prime is 466799997683.

466799997664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×466799997664² (a number of 24 digits) contains 22 as substring.

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, 97470982 + ... + 97475770.

It is an arithmetic number, because the mean of its divisors is an integer number (3422071800).

Almost surely, 2^466799997664 is an apocalyptic number.

466799997664 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 466799997664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657037785600).

466799997664 is an abundant number, since it is smaller than the sum of its proper divisors (847275573536).

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

466799997664 is a wasteful number, since it uses less digits than its factorization.

466799997664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 5018 counting only the distinct ones).

The product of its digits is 6666395904, while the sum is 82.

The spelling of 466799997664 in words is "four hundred sixty-six billion, seven hundred ninety-nine million, nine hundred ninety-seven thousand, six hundred sixty-four".