466527725664 has 768 divisors, whose sum is σ = 1748077148160. Its totient is φ = 104847114240.

The previous prime is 466527725659. The next prime is 466527725701.

466527725664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466527725598 and 466527725607.

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 127 ways as a sum of consecutive naturals, for example, 576671692 + ... + 576672500.

It is an arithmetic number, because the mean of its divisors is an integer number (2276142120).

Almost surely, 2^466527725664 is an apocalyptic number.

466527725664 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 466527725664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874038574080).

466527725664 is an abundant number, since it is smaller than the sum of its proper divisors (1281549422496).

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

466527725664 is a wasteful number, since it uses less digits than its factorization.

466527725664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1215 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 60.

The spelling of 466527725664 in words is "four hundred sixty-six billion, five hundred twenty-seven million, seven hundred twenty-five thousand, six hundred sixty-four".