768416520960 has 1296 divisors, whose sum is σ = 3074815755648. Its totient is φ = 176832184320.

The previous prime is 768416520947. The next prime is 768416520961. The reversal of 768416520960 is 69025614867.

768416520960 is a `hidden beast` number, since 76 + 8 + 41 + 6 + 520 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 768416520897 and 768416520906.

It is not an unprimeable number, because it can be changed into a prime (768416520961) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2424026722 + ... + 2424027038.

Almost surely, 2^768416520960 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 768416520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537407877824).

768416520960 is an abundant number, since it is smaller than the sum of its proper divisors (2306399234688).

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

768416520960 is a wasteful number, since it uses less digits than its factorization.

768416520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 768416520960 in words is "seven hundred sixty-eight billion, four hundred sixteen million, five hundred twenty thousand, nine hundred sixty".