689313768000 has 2016 divisors, whose sum is σ = 2930537151360. Its totient is φ = 141419520000.

The previous prime is 689313767999. The next prime is 689313768029. The reversal of 689313768000 is 867313986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22235927985 + ... + 22235928015.

It is an arithmetic number, because the mean of its divisors is an integer number (1453639460).

Almost surely, 2^689313768000 is an apocalyptic number.

689313768000 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 689313768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465268575680).

689313768000 is an abundant number, since it is smaller than the sum of its proper divisors (2241223383360).

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

689313768000 is a wasteful number, since it uses less digits than its factorization.

689313768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 689313768000 in words is "six hundred eighty-nine billion, three hundred thirteen million, seven hundred sixty-eight thousand".