793717536768 has 384 divisors, whose sum is σ = 2315361484800. Its totient is φ = 241774460928.

The previous prime is 793717536763. The next prime is 793717536791. The reversal of 793717536768 is 867635717397.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×793717536768² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793717536761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714292505 + ... + 1714292967.

It is an arithmetic number, because the mean of its divisors is an integer number (6029587200).

Almost surely, 2^793717536768 is an apocalyptic number.

793717536768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 793717536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157680742400).

793717536768 is an abundant number, since it is smaller than the sum of its proper divisors (1521643948032).

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

793717536768 is a wasteful number, since it uses less digits than its factorization.

793717536768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 608 counting only the distinct ones).

The product of its digits is 280052640, while the sum is 69.

The spelling of 793717536768 in words is "seven hundred ninety-three billion, seven hundred seventeen million, five hundred thirty-six thousand, seven hundred sixty-eight".