667045539918576 has 720 divisors, whose sum is σ = 2336087955801600. Its totient is φ = 173961139083264.

The previous prime is 667045539918539. The next prime is 667045539918601. The reversal of 667045539918576 is 675819935540766.

667045539918576 is a `hidden beast` number, since 6 + 6 + 7 + 0 + 4 + 5 + 5 + 39 + 9 + 1 + 8 + 576 = 666.

667045539918576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 667045539918495 and 667045539918504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9339853395 + ... + 9339924813.

It is an arithmetic number, because the mean of its divisors is an integer number (3244566605280).

Almost surely, 2^{667045539918576} 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 667045539918576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168043977900800).

667045539918576 is an abundant number, since it is smaller than the sum of its proper divisors (1669042415883024).

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

667045539918576 is a wasteful number, since it uses less digits than its factorization.

667045539918576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72078 (or 72056 counting only the distinct ones).

The product of its (nonzero) digits is 10287648000, while the sum is 81.

The spelling of 667045539918576 in words is "six hundred sixty-seven trillion, forty-five billion, five hundred thirty-nine million, nine hundred eighteen thousand, five hundred seventy-six".