6677164800 has 432 divisors, whose sum is σ = 25936152480. Its totient is φ = 1675100160.

The previous prime is 6677164787. The next prime is 6677164801. The reversal of 6677164800 is 84617766.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6677164801) 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 47 ways as a sum of consecutive naturals, for example, 2936464 + ... + 2938736.

It is an arithmetic number, because the mean of its divisors is an integer number (60037390).

Almost surely, 2^6677164800 is an apocalyptic number.

6677164800 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 6677164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968076240).

6677164800 is an abundant number, since it is smaller than the sum of its proper divisors (19258987680).

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

6677164800 is a wasteful number, since it uses less digits than its factorization.

6677164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6677164800 is about 81713.9204787042. The cubic root of 6677164800 is about 1883.0594518238.

The spelling of 6677164800 in words is "six billion, six hundred seventy-seven million, one hundred sixty-four thousand, eight hundred".