6676149772656 has 720 divisors, whose sum is σ = 24728906311200. Its totient is φ = 1661930016768.

The previous prime is 6676149772631. The next prime is 6676149772657. The reversal of 6676149772656 is 6562779416766.

6676149772656 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 1 + 497 + 72 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6676149772657) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 482757550 + ... + 482771378.

It is an arithmetic number, because the mean of its divisors is an integer number (34345703210).

Almost surely, 2^{6676149772656} 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 6676149772656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364453155600).

6676149772656 is an abundant number, since it is smaller than the sum of its proper divisors (18052756538544).

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

6676149772656 is a wasteful number, since it uses less digits than its factorization.

6676149772656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14166 (or 14150 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 6676149772656 in words is "six trillion, six hundred seventy-six billion, one hundred forty-nine million, seven hundred seventy-two thousand, six hundred fifty-six".