768730330368 has 1728 divisors, whose sum is σ = 3201292523520. Its totient is φ = 170798284800.

The previous prime is 768730330351. The next prime is 768730330397. The reversal of 768730330368 is 863033037867.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2322447963 + ... + 2322448293.

It is an arithmetic number, because the mean of its divisors is an integer number (1852599840).

Almost surely, 2^768730330368 is an apocalyptic number.

768730330368 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 768730330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600646261760).

768730330368 is an abundant number, since it is smaller than the sum of its proper divisors (2432562193152).

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

768730330368 is a wasteful number, since it uses less digits than its factorization.

768730330368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 768730330368 in words is "seven hundred sixty-eight billion, seven hundred thirty million, three hundred thirty thousand, three hundred sixty-eight".