746317670814720 has 1056 divisors, whose sum is σ = 2691835100398080. Its totient is φ = 198271248629760.

The previous prime is 746317670814697. The next prime is 746317670814733. The reversal of 746317670814720 is 27418076713647.

It is a happy number.

746317670814720 is a `hidden beast` number, since 7 + 4 + 6 + 3 + 17 + 6 + 70 + 81 + 472 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548359786840 + ... + 548359788200.

Almost surely, 2^{746317670814720} 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 746317670814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345917550199040).

746317670814720 is an abundant number, since it is smaller than the sum of its proper divisors (1945517429583360).

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

746317670814720 is a wasteful number, since it uses less digits than its factorization.

746317670814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 746317670814720 in words is "seven hundred forty-six trillion, three hundred seventeen billion, six hundred seventy million, eight hundred fourteen thousand, seven hundred twenty".