689759642880 has 2304 divisors, whose sum is σ = 3289028198400. Its totient is φ = 132498063360.

The previous prime is 689759642879. The next prime is 689759642899. The reversal of 689759642880 is 88246957986.

689759642880 is a `hidden beast` number, since 6 + 8 + 9 + 7 + 596 + 4 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 689759642799 and 689759642808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3573884064 + ... + 3573884256.

It is an arithmetic number, because the mean of its divisors is an integer number (1427529600).

Almost surely, 2^689759642880 is an apocalyptic number.

689759642880 is a gapful number since it is divisible by the number (60) 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 689759642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644514099200).

689759642880 is an abundant number, since it is smaller than the sum of its proper divisors (2599268555520).

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

689759642880 is a wasteful number, since it uses less digits than its factorization.

689759642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 689759642880 in words is "six hundred eighty-nine billion, seven hundred fifty-nine million, six hundred forty-two thousand, eight hundred eighty".