688969469260800 has 4224 divisors, whose sum is σ = 3170372638720000. Its totient is φ = 144538347110400.

The previous prime is 688969469260799. The next prime is 688969469260883. The reversal of 688969469260800 is 8062964969886.

688969469260800 is a `hidden beast` number, since 6 + 8 + 8 + 96 + 9 + 469 + 2 + 60 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 688969469260800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1380700338951 + ... + 1380700339449.

Almost surely, 2^{688969469260800} is an apocalyptic number.

688969469260800 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 688969469260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585186319360000).

688969469260800 is an abundant number, since it is smaller than the sum of its proper divisors (2481403169459200).

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

688969469260800 is a wasteful number, since it uses less digits than its factorization.

688969469260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 3869835264, while the sum is 81.

The spelling of 688969469260800 in words is "six hundred eighty-eight trillion, nine hundred sixty-nine billion, four hundred sixty-nine million, two hundred sixty thousand, eight hundred".