667992887856 has 400 divisors, whose sum is σ = 2234035584000. Its totient is φ = 188752882176.

The previous prime is 667992887833. The next prime is 667992887873. The reversal of 667992887856 is 658788299766.

It is a super-3 number, since 3×667992887856³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 355503525 + ... + 355505403.

It is an arithmetic number, because the mean of its divisors is an integer number (5585088960).

Almost surely, 2^667992887856 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 667992887856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117017792000).

667992887856 is an abundant number, since it is smaller than the sum of its proper divisors (1566042696144).

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

667992887856 is a wasteful number, since it uses less digits than its factorization.

667992887856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2303 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

The spelling of 667992887856 in words is "six hundred sixty-seven billion, nine hundred ninety-two million, eight hundred eighty-seven thousand, eight hundred fifty-six".