768471456898944 has 2304 divisors, whose sum is σ = 2601440685043200. Its totient is φ = 225342836490240.

The previous prime is 768471456898939. The next prime is 768471456898979. The reversal of 768471456898944 is 449898654174867.

768471456898944 is a `hidden beast` number, since 7 + 6 + 8 + 4 + 71 + 456 + 8 + 9 + 89 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 994141599742 + ... + 994141600514.

It is an arithmetic number, because the mean of its divisors is an integer number (1129097519550).

Almost surely, 2^{768471456898944} 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 768471456898944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300720342521600).

768471456898944 is an abundant number, since it is smaller than the sum of its proper divisors (1832969228144256).

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

768471456898944 is a wasteful number, since it uses less digits than its factorization.

768471456898944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 940 counting only the distinct ones).

The product of its digits is 93640458240, while the sum is 90.

The spelling of 768471456898944 in words is "seven hundred sixty-eight trillion, four hundred seventy-one billion, four hundred fifty-six million, eight hundred ninety-eight thousand, nine hundred forty-four".