6677712643800 has 576 divisors, whose sum is σ = 23988339648000. Its totient is φ = 1531276876800.

The previous prime is 6677712643799. The next prime is 6677712643817. The reversal of 6677712643800 is 83462177766.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 991785234 + ... + 991791966.

It is an arithmetic number, because the mean of its divisors is an integer number (41646423000).

Almost surely, 2^{6677712643800} is an apocalyptic number.

6677712643800 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 6677712643800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11994169824000).

6677712643800 is an abundant number, since it is smaller than the sum of its proper divisors (17310627004200).

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

6677712643800 is a wasteful number, since it uses less digits than its factorization.

6677712643800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 6677712643800 in words is "six trillion, six hundred seventy-seven billion, seven hundred twelve million, six hundred forty-three thousand, eight hundred".