688854269376 has 672 divisors, whose sum is σ = 2544241190400. Its totient is φ = 179938381824.

The previous prime is 688854269333. The next prime is 688854269387. The reversal of 688854269376 is 673962458886.

688854269376 is a `hidden beast` number, since 6 + 8 + 8 + 8 + 542 + 6 + 9 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151427550 + ... + 151432098.

It is an arithmetic number, because the mean of its divisors is an integer number (3786073200).

Almost surely, 2^688854269376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688854269376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272120595200).

688854269376 is an abundant number, since it is smaller than the sum of its proper divisors (1855386921024).

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

688854269376 is a wasteful number, since it uses less digits than its factorization.

688854269376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4681 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 688854269376 in words is "six hundred eighty-eight billion, eight hundred fifty-four million, two hundred sixty-nine thousand, three hundred seventy-six".