798417564672 has 1056 divisors, whose sum is σ = 2869263851520. Its totient is φ = 192536248320.

The previous prime is 798417564661. The next prime is 798417564719. The reversal of 798417564672 is 276465714897.

Its product of digits (142248960) is a multiple of the sum of its prime divisors (448).

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 95 ways as a sum of consecutive naturals, for example, 2140529478 + ... + 2140529850.

It is an arithmetic number, because the mean of its divisors is an integer number (2717105920).

Almost surely, 2^798417564672 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 798417564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434631925760).

798417564672 is an abundant number, since it is smaller than the sum of its proper divisors (2070846286848).

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

798417564672 is a wasteful number, since it uses less digits than its factorization.

798417564672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 448 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 66.

The spelling of 798417564672 in words is "seven hundred ninety-eight billion, four hundred seventeen million, five hundred sixty-four thousand, six hundred seventy-two".