802973856669696 has 3584 divisors, whose sum is σ = 2891678662656000. Its totient is φ = 218316039782400.

The previous prime is 802973856669689. The next prime is 802973856669731. The reversal of 802973856669696 is 696966658379208.

It is a happy 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 255 ways as a sum of consecutive naturals, for example, 3359723249545 + ... + 3359723249783.

It is an arithmetic number, because the mean of its divisors is an integer number (806829984000).

Almost surely, 2^{802973856669696} 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 802973856669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445839331328000).

802973856669696 is an abundant number, since it is smaller than the sum of its proper divisors (2088704805986304).

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

802973856669696 is a wasteful number, since it uses less digits than its factorization.

802973856669696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 76187381760, while the sum is 90.

The spelling of 802973856669696 in words is "eight hundred two trillion, nine hundred seventy-three billion, eight hundred fifty-six million, six hundred sixty-nine thousand, six hundred ninety-six".