667875743808 has 448 divisors, whose sum is σ = 2232575826432. Its totient is φ = 171488378880.

The previous prime is 667875743789. The next prime is 667875743809. The reversal of 667875743808 is 808347578766.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (667875743809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611047710 + ... + 611048802.

It is an arithmetic number, because the mean of its divisors is an integer number (4983428184).

Almost surely, 2^667875743808 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 667875743808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116287913216).

667875743808 is an abundant number, since it is smaller than the sum of its proper divisors (1564700082624).

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

667875743808 is a wasteful number, since it uses less digits than its factorization.

667875743808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 69.

The spelling of 667875743808 in words is "six hundred sixty-seven billion, eight hundred seventy-five million, seven hundred forty-three thousand, eight hundred eight".