673686924768 has 576 divisors, whose sum is σ = 2363940633600. Its totient is φ = 186034268160.

The previous prime is 673686924737. The next prime is 673686924791. The reversal of 673686924768 is 867429686376.

673686924768 is a `hidden beast` number, since 6 + 7 + 3 + 68 + 6 + 92 + 476 + 8 = 666.

It is a super-3 number, since 3×673686924768³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 673686924696 and 673686924705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87841638 + ... + 87849306.

It is an arithmetic number, because the mean of its divisors is an integer number (4104063600).

Almost surely, 2^673686924768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673686924768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181970316800).

673686924768 is an abundant number, since it is smaller than the sum of its proper divisors (1690253708832).

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

673686924768 is a wasteful number, since it uses less digits than its factorization.

673686924768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7797 (or 7777 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 673686924768 in words is "six hundred seventy-three billion, six hundred eighty-six million, nine hundred twenty-four thousand, seven hundred sixty-eight".