673763337031680 has 3120 divisors, whose sum is σ = 2856127063608000. Its totient is φ = 152334297464832.

The previous prime is 673763337031661. The next prime is 673763337031721. The reversal of 673763337031680 is 86130733367376.

It is a happy number.

673763337031680 is a `hidden beast` number, since 6 + 7 + 3 + 76 + 33 + 370 + 3 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1350227128071 + ... + 1350227128569.

It is an arithmetic number, because the mean of its divisors is an integer number (915425340900).

Almost surely, 2^{673763337031680} is an apocalyptic number.

673763337031680 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 673763337031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428063531804000).

673763337031680 is an abundant number, since it is smaller than the sum of its proper divisors (2182363726576320).

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

673763337031680 is an frugal number, since it uses more digits than its factorization.

673763337031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 63.

The spelling of 673763337031680 in words is "six hundred seventy-three trillion, seven hundred sixty-three billion, three hundred thirty-seven million, thirty-one thousand, six hundred eighty".