667996008576 has 192 divisors, whose sum is σ = 1922738368320. Its totient is φ = 205389090816.

The previous prime is 667996008527. The next prime is 667996008587. The reversal of 667996008576 is 675800699766.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 667996008576.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119860126 + ... + 119865698.

It is an arithmetic number, because the mean of its divisors is an integer number (10014262335).

Almost surely, 2^667996008576 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 667996008576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961369184160).

667996008576 is an abundant number, since it is smaller than the sum of its proper divisors (1254742359744).

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

667996008576 is a wasteful number, since it uses less digits than its factorization.

667996008576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7463 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 69.

The spelling of 667996008576 in words is "six hundred sixty-seven billion, nine hundred ninety-six million, eight thousand, five hundred seventy-six".