667824059664 has 160 divisors (see below), whose sum is σ = 1958139671040. Its totient is φ = 217869360768.

The previous prime is 667824059561. The next prime is 667824059713. The reversal of 667824059664 is 466950428766.

667824059664 is a `hidden beast` number, since 6 + 6 + 7 + 82 + 405 + 96 + 64 = 666.

It is a super-2 number, since 2×667824059664² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3749559 + ... + 3923625.

It is an arithmetic number, because the mean of its divisors is an integer number (12238372944).

Almost surely, 2^667824059664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667824059664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979069835520).

667824059664 is an abundant number, since it is smaller than the sum of its proper divisors (1290315611376).

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

667824059664 is a wasteful number, since it uses less digits than its factorization.

667824059664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174274 (or 174262 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 667824059664 in words is "six hundred sixty-seven billion, eight hundred twenty-four million, fifty-nine thousand, six hundred sixty-four".