673505280 has 560 divisors, whose sum is σ = 2854573920. Its totient is φ = 148635648.

The previous prime is 673505267. The next prime is 673505281. The reversal of 673505280 is 82505376.

673505280 is a `hidden beast` number, since 6 + 73 + 505 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673505281) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 23224306 + ... + 23224334.

Almost surely, 2^673505280 is an apocalyptic number.

673505280 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 673505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427286960).

673505280 is an abundant number, since it is smaller than the sum of its proper divisors (2181068640).

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

673505280 is an equidigital number, since it uses as much as digits as its factorization.

673505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 673505280 is about 25951.9802712625. The cubic root of 673505280 is about 876.5573484498.

The spelling of 673505280 in words is "six hundred seventy-three million, five hundred five thousand, two hundred eighty".