466726505627664 has 60 divisors (see below), whose sum is σ = 1306196104736796. Its totient is φ = 155574296487936.

The previous prime is 466726505627597. The next prime is 466726505627689.

It is a happy number.

466726505627664 is a `hidden beast` number, since 4 + 6 + 6 + 7 + 2 + 6 + 50 + 562 + 7 + 6 + 6 + 4 = 666.

466726505627664 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 220770267555600 + 245956238072064 = 14858340^2 + 15682992^2 .

It is a super-3 number, since 3×466726505627664³ (a number of 45 digits) contains 333 as substring.

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 = 466726505627592 and 466726505627601.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6190872 + ... + 31173384.

Almost surely, 2^{466726505627664} is an apocalyptic number.

It is an amenable number.

466726505627664 is an abundant number, since it is smaller than the sum of its proper divisors (839469599109132).

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

466726505627664 is a wasteful number, since it uses less digits than its factorization.

466726505627664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25112264 (or 25112255 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 72.

The spelling of 466726505627664 in words is "four hundred sixty-six trillion, seven hundred twenty-six billion, five hundred five million, six hundred twenty-seven thousand, six hundred sixty-four".