743694306768 has 800 divisors, whose sum is σ = 2607430732800. Its totient is φ = 202704768000.

The previous prime is 743694306757. The next prime is 743694306851. The reversal of 743694306768 is 867603496347.

743694306768 is a `hidden beast` number, since 74 + 3 + 69 + 430 + 6 + 76 + 8 = 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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3247573278 + ... + 3247573506.

It is an arithmetic number, because the mean of its divisors is an integer number (3259288416).

Almost surely, 2^743694306768 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 743694306768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303715366400).

743694306768 is an abundant number, since it is smaller than the sum of its proper divisors (1863736426032).

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

743694306768 is a wasteful number, since it uses less digits than its factorization.

743694306768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 743694306768 in words is "seven hundred forty-three billion, six hundred ninety-four million, three hundred six thousand, seven hundred sixty-eight".