768684430140 has 864 divisors, whose sum is σ = 2656905753600. Its totient is φ = 164439475200.

The previous prime is 768684430139. The next prime is 768684430141. The reversal of 768684430140 is 41034486867.

It is an interprime number because it is at equal distance from previous prime (768684430139) and next prime (768684430141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768684430141) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9730182621 + ... + 9730182699.

It is an arithmetic number, because the mean of its divisors is an integer number (3075122400).

Almost surely, 2^768684430140 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 768684430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328452876800).

768684430140 is an abundant number, since it is smaller than the sum of its proper divisors (1888221323460).

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

768684430140 is a wasteful number, since it uses less digits than its factorization.

768684430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 768684430140 in words is "seven hundred sixty-eight billion, six hundred eighty-four million, four hundred thirty thousand, one hundred forty".