768003844608 has 1920 divisors, whose sum is σ = 3170965045248. Its totient is φ = 172523520000.

The previous prime is 768003844607. The next prime is 768003844681. The reversal of 768003844608 is 806448300867.

768003844608 is a `hidden beast` number, since 76 + 80 + 0 + 38 + 4 + 460 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (768003844607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5862624703 + ... + 5862624833.

Almost surely, 2^768003844608 is an apocalyptic number.

768003844608 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 768003844608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585482522624).

768003844608 is an abundant number, since it is smaller than the sum of its proper divisors (2402961200640).

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

768003844608 is a wasteful number, since it uses less digits than its factorization.

768003844608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 768003844608 in words is "seven hundred sixty-eight billion, three million, eight hundred forty-four thousand, six hundred eight".