6674627863800 has 768 divisors, whose sum is σ = 25208961523200. Its totient is φ = 1613277388800.

The previous prime is 6674627863789. The next prime is 6674627863801. The reversal of 6674627863800 is 83687264766.

6674627863800 is a `hidden beast` number, since 6 + 67 + 462 + 7 + 86 + 38 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6674627863801) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1585043695 + ... + 1585047905.

It is an arithmetic number, because the mean of its divisors is an integer number (32824168650).

Almost surely, 2^{6674627863800} is an apocalyptic number.

6674627863800 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 6674627863800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604480761600).

6674627863800 is an abundant number, since it is smaller than the sum of its proper divisors (18534333659400).

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

6674627863800 is a wasteful number, since it uses less digits than its factorization.

6674627863800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 6674627863800 in words is "six trillion, six hundred seventy-four billion, six hundred twenty-seven million, eight hundred sixty-three thousand, eight hundred".