466784487664 has 160 divisors (see below), whose sum is σ = 1049512826880. Its totient is φ = 199100160000.

The previous prime is 466784487649. The next prime is 466784487677.

466784487664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466784487593 and 466784487602.

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 31 ways as a sum of consecutive naturals, for example, 56706429 + ... + 56714659.

It is an arithmetic number, because the mean of its divisors is an integer number (6559455168).

Almost surely, 2^466784487664 is an apocalyptic number.

466784487664 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 466784487664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524756413440).

466784487664 is an abundant number, since it is smaller than the sum of its proper divisors (582728339216).

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

466784487664 is a wasteful number, since it uses less digits than its factorization.

466784487664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8591 (or 8585 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 70.

The spelling of 466784487664 in words is "four hundred sixty-six billion, seven hundred eighty-four million, four hundred eighty-seven thousand, six hundred sixty-four".