689993123328 has 640 divisors, whose sum is σ = 2275722915840. Its totient is φ = 205418004480.

The previous prime is 689993123293. The next prime is 689993123353. The reversal of 689993123328 is 823321399986.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386117251 + ... + 386119037.

It is an arithmetic number, because the mean of its divisors is an integer number (3555817056).

Almost surely, 2^689993123328 is an apocalyptic number.

689993123328 is a gapful number since it is divisible by the number (68) 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 689993123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137861457920).

689993123328 is an abundant number, since it is smaller than the sum of its proper divisors (1585729792512).

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

689993123328 is a wasteful number, since it uses less digits than its factorization.

689993123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1893 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 689993123328 in words is "six hundred eighty-nine billion, nine hundred ninety-three million, one hundred twenty-three thousand, three hundred twenty-eight".