6673407600 has 120 divisors (see below), whose sum is σ = 21430991920. Its totient is φ = 1775093760.

The previous prime is 6673407593. The next prime is 6673407619. The reversal of 6673407600 is 67043766.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484002 + ... + 497598.

Almost surely, 2^6673407600 is an apocalyptic number.

6673407600 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 6673407600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10715495960).

6673407600 is an abundant number, since it is smaller than the sum of its proper divisors (14757584320).

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

6673407600 is a wasteful number, since it uses less digits than its factorization.

6673407600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14027 (or 14016 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 6673407600 is about 81690.9272808186. The cubic root of 6673407600 is about 1882.7061901913.

The spelling of 6673407600 in words is "six billion, six hundred seventy-three million, four hundred seven thousand, six hundred".