6774646713120 has 576 divisors, whose sum is σ = 27176181177600. Its totient is φ = 1515111505920.

The previous prime is 6774646713119. The next prime is 6774646713127. The reversal of 6774646713120 is 213176464776.

It is a happy number.

6774646713120 is a `hidden beast` number, since 6 + 7 + 7 + 46 + 467 + 13 + 120 = 666.

It is not an unprimeable number, because it can be changed into a prime (6774646713127) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 386914926 + ... + 386932434.

It is an arithmetic number, because the mean of its divisors is an integer number (47180870100).

Almost surely, 2^{6774646713120} is an apocalyptic number.

6774646713120 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 6774646713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588090588800).

6774646713120 is an abundant number, since it is smaller than the sum of its proper divisors (20401534464480).

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

6774646713120 is a wasteful number, since it uses less digits than its factorization.

6774646713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19433 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 6774646713120 in words is "six trillion, seven hundred seventy-four billion, six hundred forty-six million, seven hundred thirteen thousand, one hundred twenty".