673329756240 has 800 divisors, whose sum is σ = 2557576438560. Its totient is φ = 163488595968.

The previous prime is 673329756179. The next prime is 673329756247. The reversal of 673329756240 is 42657923376.

673329756240 is a `hidden beast` number, since 6 + 7 + 3 + 3 + 2 + 9 + 7 + 5 + 624 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 129004525584 + 544325230656 = 359172^2 + 737784^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673329756247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 949689006 + ... + 949689714.

Almost surely, 2^673329756240 is an apocalyptic number.

673329756240 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 673329756240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278788219280).

673329756240 is an abundant number, since it is smaller than the sum of its proper divisors (1884246682320).

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

673329756240 is a wasteful number, since it uses less digits than its factorization.

673329756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 673329756240 in words is "six hundred seventy-three billion, three hundred twenty-nine million, seven hundred fifty-six thousand, two hundred forty".