6673900800 has 864 divisors, whose sum is σ = 28030205952. Its totient is φ = 1362493440.

The previous prime is 6673900757. The next prime is 6673900811. The reversal of 6673900800 is 80093766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52550337 + ... + 52550463.

It is an arithmetic number, because the mean of its divisors is an integer number (32442368).

Almost surely, 2^6673900800 is an apocalyptic number.

6673900800 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 6673900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14015102976).

6673900800 is an abundant number, since it is smaller than the sum of its proper divisors (21356305152).

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

6673900800 is a wasteful number, since it uses less digits than its factorization.

6673900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6673900800 is about 81693.9459201231. The cubic root of 6673900800 is about 1882.7525696861.

The spelling of 6673900800 in words is "six billion, six hundred seventy-three million, nine hundred thousand, eight hundred".