466572707275664 has 80 divisors (see below), whose sum is σ = 989514710308800. Its totient is φ = 211358771719680.

The previous prime is 466572707275639. The next prime is 466572707275667.

466572707275664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466572707275591 and 466572707275600.

It is not an unprimeable number, because it can be changed into a prime (466572707275667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117069422 + ... + 120989234.

It is an arithmetic number, because the mean of its divisors is an integer number (12368933878860).

Almost surely, 2^{466572707275664} is an apocalyptic number.

466572707275664 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 466572707275664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494757355154400).

466572707275664 is an abundant number, since it is smaller than the sum of its proper divisors (522942003033136).

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

466572707275664 is a wasteful number, since it uses less digits than its factorization.

466572707275664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922128 (or 3922122 counting only the distinct ones).

The product of its (nonzero) digits is 4978713600, while the sum is 74.

The spelling of 466572707275664 in words is "four hundred sixty-six trillion, five hundred seventy-two billion, seven hundred seven million, two hundred seventy-five thousand, six hundred sixty-four".