785168916480 has 672 divisors, whose sum is σ = 3023512794720. Its totient is φ = 193226342400.

The previous prime is 785168916403. The next prime is 785168916487. The reversal of 785168916480 is 84619861587.

785168916480 is a `hidden beast` number, since 7 + 8 + 5 + 1 + 68 + 91 + 6 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785168916487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186898380 + ... + 186902580.

Almost surely, 2^785168916480 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 785168916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511756397360).

785168916480 is an abundant number, since it is smaller than the sum of its proper divisors (2238343878240).

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

785168916480 is a wasteful number, since it uses less digits than its factorization.

785168916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 785168916480 in words is "seven hundred eighty-five billion, one hundred sixty-eight million, nine hundred sixteen thousand, four hundred eighty".