6785379934800 has 60 divisors (see below), whose sum is σ = 21735833728320. Its totient is φ = 1809434648960.

The previous prime is 6785379934741. The next prime is 6785379934909. The reversal of 6785379934800 is 84399735876.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2827240440 + ... + 2827242839.

It is an arithmetic number, because the mean of its divisors is an integer number (362263895472).

Almost surely, 2^{6785379934800} is an apocalyptic number.

6785379934800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6785379934800 is an abundant number, since it is smaller than the sum of its proper divisors (14950453793520).

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

6785379934800 is a wasteful number, since it uses less digits than its factorization.

6785379934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654483300 (or 5654483289 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 6785379934800 in words is "six trillion, seven hundred eighty-five billion, three hundred seventy-nine million, nine hundred thirty-four thousand, eight hundred".