673747200 has 432 divisors, whose sum is σ = 2828568960. Its totient is φ = 153722880.

The previous prime is 673747153. The next prime is 673747241. The reversal of 673747200 is 2747376.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209322 + ... + 1209878.

Almost surely, 2^673747200 is an apocalyptic number.

673747200 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 673747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414284480).

673747200 is an abundant number, since it is smaller than the sum of its proper divisors (2154821760).

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

673747200 is a wasteful number, since it uses less digits than its factorization.

673747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 673747200 is about 25956.6407687898. The cubic root of 673747200 is about 876.6622876761.

The spelling of 673747200 in words is "six hundred seventy-three million, seven hundred forty-seven thousand, two hundred".