6673233600 has 840 divisors, whose sum is σ = 27805172736. Its totient is φ = 1555200000.

The previous prime is 6673233577. The next prime is 6673233629. The reversal of 6673233600 is 63323766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44193525 + ... + 44193675.

Almost surely, 2^6673233600 is an apocalyptic number.

6673233600 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 6673233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13902586368).

6673233600 is an abundant number, since it is smaller than the sum of its proper divisors (21131939136).

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

6673233600 is a wasteful number, since it uses less digits than its factorization.

6673233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 6673233600 is about 81689.8622841292. The cubic root of 6673233600 is about 1882.6898270505.

The spelling of 6673233600 in words is "six billion, six hundred seventy-three million, two hundred thirty-three thousand, six hundred".