673395840 has 576 divisors, whose sum is σ = 2771790840. Its totient is φ = 149225472.

The previous prime is 673395803. The next prime is 673395881. The reversal of 673395840 is 48593376.

673395840 is a `hidden beast` number, since 67 + 3 + 3 + 9 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 512207424 + 161188416 = 22632^2 + 12696^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29278069 + ... + 29278091.

Almost surely, 2^673395840 is an apocalyptic number.

673395840 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 673395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385895420).

673395840 is an abundant number, since it is smaller than the sum of its proper divisors (2098395000).

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

673395840 is a wasteful number, since it uses less digits than its factorization.

673395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 673395840 is about 25949.8716759833. The cubic root of 673395840 is about 876.5098676873.

The spelling of 673395840 in words is "six hundred seventy-three million, three hundred ninety-five thousand, eight hundred forty".