789238674065664 has 729 divisors, whose sum is σ = 2414300000923083. Its totient is φ = 257484702818304.

The previous prime is 789238674065599. The next prime is 789238674065783. The reversal of 789238674065664 is 466560476832987.

The square root of 789238674065664 is 28093392.

It is a perfect power (a square), and thus also a powerful number.

789238674065664 is a `hidden beast` number, since 7 + 8 + 9 + 2 + 3 + 8 + 6 + 7 + 40 + 6 + 566 + 4 = 666.

789238674065664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 340349366073600 + 448889307992064 = 18448560^2 + 21187008^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1929678909492 + ... + 1929678909900.

Almost surely, 2^{789238674065664} is an apocalyptic number.

789238674065664 is the 28093392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789238674065664

789238674065664 is an abundant number, since it is smaller than the sum of its proper divisors (1625061326857419).

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

789238674065664 is an frugal number, since it uses more digits than its factorization.

789238674065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 17557585920, while the sum is 81.

789238674065664 divided by its sum of digits (81) gives a square (9743687334144 = 3121488²).

The spelling of 789238674065664 in words is "seven hundred eighty-nine trillion, two hundred thirty-eight billion, six hundred seventy-four million, sixty-five thousand, six hundred sixty-four".