667878939002400 has 576 divisors, whose sum is σ = 2280144832640640. Its totient is φ = 169643814912000.

The previous prime is 667878939002377. The next prime is 667878939002417. The reversal of 667878939002400 is 4200939878766.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 797804847 + ... + 798641553.

It is an arithmetic number, because the mean of its divisors is an integer number (3958584778890).

Almost surely, 2^{667878939002400} is an apocalyptic number.

667878939002400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667878939002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140072416320320).

667878939002400 is an abundant number, since it is smaller than the sum of its proper divisors (1612265893638240).

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

667878939002400 is a wasteful number, since it uses less digits than its factorization.

667878939002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836957 (or 836944 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 667878939002400 in words is "six hundred sixty-seven trillion, eight hundred seventy-eight billion, nine hundred thirty-nine million, two thousand, four hundred".