768483330336 has 384 divisors, whose sum is σ = 2344567680000. Its totient is φ = 244586926080.

The previous prime is 768483330313. The next prime is 768483330341. The reversal of 768483330336 is 633033384867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1083897150 + ... + 1083897858.

It is an arithmetic number, because the mean of its divisors is an integer number (6105645000).

Almost surely, 2^768483330336 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 768483330336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172283840000).

768483330336 is an abundant number, since it is smaller than the sum of its proper divisors (1576084349664).

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

768483330336 is a wasteful number, since it uses less digits than its factorization.

768483330336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 768483330336 in words is "seven hundred sixty-eight billion, four hundred eighty-three million, three hundred thirty thousand, three hundred thirty-six".