6766287378400 has 216 divisors, whose sum is σ = 18164559268800. Its totient is φ = 2459358105600.

The previous prime is 6766287378287. The next prime is 6766287378427. The reversal of 6766287378400 is 48737826676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232208632 + ... + 232237768.

It is an arithmetic number, because the mean of its divisors is an integer number (84095181800).

Almost surely, 2^{6766287378400} 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 6766287378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082279634400).

6766287378400 is an abundant number, since it is smaller than the sum of its proper divisors (11398271890400).

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

6766287378400 is a wasteful number, since it uses less digits than its factorization.

6766287378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31578 (or 31554 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 64.

The spelling of 6766287378400 in words is "six trillion, seven hundred sixty-six billion, two hundred eighty-seven million, three hundred seventy-eight thousand, four hundred".