673369200 has 300 divisors, whose sum is σ = 2762836560. Its totient is φ = 153861120.

The previous prime is 673369189. The next prime is 673369211. The reversal of 673369200 is 2963376.

It is an interprime number because it is at equal distance from previous prime (673369189) and next prime (673369211).

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 225316 + ... + 228284.

Almost surely, 2^673369200 is an apocalyptic number.

673369200 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 673369200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381418280).

673369200 is an abundant number, since it is smaller than the sum of its proper divisors (2089467360).

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

673369200 is a wasteful number, since it uses less digits than its factorization.

673369200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 673369200 is about 25949.3583735706. The cubic root of 673369200 is about 876.4983090916.

The spelling of 673369200 in words is "six hundred seventy-three million, three hundred sixty-nine thousand, two hundred".