673920000 has 550 divisors, whose sum is σ = 2708209658. Its totient is φ = 165888000.

The previous prime is 673919977. The next prime is 673920017. The reversal of 673920000 is 29376.

It can be written as a sum of positive squares in 5 ways, for example, as 394896384 + 279023616 = 19872^2 + 16704^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 51839994 + ... + 51840006.

Almost surely, 2^673920000 is an apocalyptic number.

673920000 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 673920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354104829).

673920000 is an abundant number, since it is smaller than the sum of its proper divisors (2034289658).

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

673920000 is an equidigital number, since it uses as much as digits as its factorization.

673920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 673920000 is about 25959.9691833407. The cubic root of 673920000 is about 876.7372288875.

Adding to 673920000 its reverse (29376), we get a palindrome (673949376).

The spelling of 673920000 in words is "six hundred seventy-three million, nine hundred twenty thousand".