689355890201664 has 336 divisors, whose sum is σ = 2304351265507200. Its totient is φ = 196952145546240.

The previous prime is 689355890201623. The next prime is 689355890201687. The reversal of 689355890201664 is 466102098553986.

It is a happy number.

689355890201664 is a `hidden beast` number, since 6 + 8 + 9 + 3 + 5 + 589 + 0 + 20 + 16 + 6 + 4 = 666.

689355890201664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 689355890201592 and 689355890201601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11002728162 + ... + 11002790814.

It is an arithmetic number, because the mean of its divisors is an integer number (6858188290200).

Almost surely, 2^{689355890201664} is an apocalyptic number.

689355890201664 is a gapful number since it is divisible by the number (64) 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 689355890201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152175632753600).

689355890201664 is an abundant number, since it is smaller than the sum of its proper divisors (1614995375305536).

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

689355890201664 is a wasteful number, since it uses less digits than its factorization.

689355890201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118383 (or 118356 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 689355890201664 in words is "six hundred eighty-nine trillion, three hundred fifty-five billion, eight hundred ninety million, two hundred one thousand, six hundred sixty-four".