667929625164032 has 144 divisors (see below), whose sum is σ = 1662644681712000. Its totient is φ = 260168019640320.

The previous prime is 667929625164029. The next prime is 667929625164049. The reversal of 667929625164032 is 230461526929766.

667929625164032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×667929625164032² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75629594 + ... + 83998182.

It is an arithmetic number, because the mean of its divisors is an integer number (11546143623000).

Almost surely, 2^{667929625164032} 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 667929625164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831322340856000).

667929625164032 is an abundant number, since it is smaller than the sum of its proper divisors (994715056547968).

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

667929625164032 is a wasteful number, since it uses less digits than its factorization.

667929625164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372672 (or 8372658 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 68.

The spelling of 667929625164032 in words is "six hundred sixty-seven trillion, nine hundred twenty-nine billion, six hundred twenty-five million, one hundred sixty-four thousand, thirty-two".