193756686768 has 160 divisors (see below), whose sum is σ = 573355177920. Its totient is φ = 62608066560.

The previous prime is 193756686719. The next prime is 193756686791. The reversal of 193756686768 is 867686657391.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 193756686696 and 193756686705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745946 + ... + 2815622.

It is an arithmetic number, because the mean of its divisors is an integer number (3583469862).

Almost surely, 2^193756686768 is an apocalyptic number.

193756686768 is a gapful number since it is divisible by the number (18) 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 193756686768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286677588960).

193756686768 is an abundant number, since it is smaller than the sum of its proper divisors (379598491152).

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

193756686768 is a wasteful number, since it uses less digits than its factorization.

193756686768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69892 (or 69880 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 193756686768 in words is "one hundred ninety-three billion, seven hundred fifty-six million, six hundred eighty-six thousand, seven hundred sixty-eight".