689579800113600 has 2016 divisors, whose sum is σ = 2802217315113216. Its totient is φ = 165400820121600.

The previous prime is 689579800113599. The next prime is 689579800113623. The reversal of 689579800113600 is 6311008975986.

689579800113600 is a `hidden beast` number, since 6 + 8 + 9 + 5 + 7 + 9 + 8 + 0 + 0 + 1 + 13 + 600 = 666.

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, 423835155987 + ... + 423835157613.

It is an arithmetic number, because the mean of its divisors is an integer number (1389988747576).

Almost surely, 2^{689579800113600} is an apocalyptic number.

689579800113600 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 689579800113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401108657556608).

689579800113600 is an abundant number, since it is smaller than the sum of its proper divisors (2112637514999616).

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

689579800113600 is a wasteful number, since it uses less digits than its factorization.

689579800113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 689579800113600 in words is "six hundred eighty-nine trillion, five hundred seventy-nine billion, eight hundred million, one hundred thirteen thousand, six hundred".