293242080768 has 320 divisors, whose sum is σ = 962951700480. Its totient is φ = 77221527552.

The previous prime is 293242080743. The next prime is 293242080787. The reversal of 293242080768 is 867080242392.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 293242080768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130968993 + ... + 130971231.

It is an arithmetic number, because the mean of its divisors is an integer number (3009224064).

Almost surely, 2^293242080768 is an apocalyptic number.

293242080768 is a gapful number since it is divisible by the number (28) 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 293242080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481475850240).

293242080768 is an abundant number, since it is smaller than the sum of its proper divisors (669709619712).

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

293242080768 is a wasteful number, since it uses less digits than its factorization.

293242080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 293242080768 in words is "two hundred ninety-three billion, two hundred forty-two million, eighty thousand, seven hundred sixty-eight".