673182082956240 has 1280 divisors, whose sum is σ = 2758910218444800. Its totient is φ = 150578403010560.

The previous prime is 673182082956239. The next prime is 673182082956343. The reversal of 673182082956240 is 42659280281376.

673182082956240 is a `hidden beast` number, since 6 + 7 + 3 + 1 + 8 + 2 + 0 + 8 + 29 + 562 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 83739526141 + ... + 83739534179.

It is an arithmetic number, because the mean of its divisors is an integer number (2155398608160).

It is a 1-persistent number, because it is pandigital, but 2⋅673182082956240 = 1346364165912480 is not.

Almost surely, 2^{673182082956240} is an apocalyptic number.

673182082956240 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 673182082956240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379455109222400).

673182082956240 is an abundant number, since it is smaller than the sum of its proper divisors (2085728135488560).

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

673182082956240 is a wasteful number, since it uses less digits than its factorization.

673182082956240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11444 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 673182082956240 in words is "six hundred seventy-three trillion, one hundred eighty-two billion, eighty-two million, nine hundred fifty-six thousand, two hundred forty".