6666713882400 has 1152 divisors, whose sum is σ = 26448384695040. Its totient is φ = 1436295168000.

The previous prime is 6666713882357. The next prime is 6666713882407. The reversal of 6666713882400 is 42883176666.

It is not an unprimeable number, because it can be changed into a prime (6666713882407) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4588240074 + ... + 4588241526.

It is an arithmetic number, because the mean of its divisors is an integer number (22958667270).

Almost surely, 2^{6666713882400} is an apocalyptic number.

6666713882400 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 6666713882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224192347520).

6666713882400 is an abundant number, since it is smaller than the sum of its proper divisors (19781670812640).

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

6666713882400 is a wasteful number, since it uses less digits than its factorization.

6666713882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 6666713882400 in words is "six trillion, six hundred sixty-six billion, seven hundred thirteen million, eight hundred eighty-two thousand, four hundred".