6673128000 has 896 divisors, whose sum is σ = 28848807936. Its totient is φ = 1317888000.

The previous prime is 6673127999. The next prime is 6673128029. The reversal of 6673128000 is 8213766.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42503922 + ... + 42504078.

Almost surely, 2^6673128000 is an apocalyptic number.

6673128000 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 6673128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424403968).

6673128000 is an abundant number, since it is smaller than the sum of its proper divisors (22175679936).

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

6673128000 is a wasteful number, since it uses less digits than its factorization.

6673128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 6673128000 is about 81689.2159345406. The cubic root of 6673128000 is about 1882.6798961781.

The spelling of 6673128000 in words is "six billion, six hundred seventy-three million, one hundred twenty-eight thousand".