676656499680 has 576 divisors, whose sum is σ = 2758232736000. Its totient is φ = 154480628736.

The previous prime is 676656499643. The next prime is 676656499703. The reversal of 676656499680 is 86994656676.

It is a happy number.

676656499680 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 56 + 499 + 6 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 676656499599 and 676656499608.

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 95 ways as a sum of consecutive naturals, for example, 266503851 + ... + 266506389.

It is an arithmetic number, because the mean of its divisors is an integer number (4788598500).

Almost surely, 2^676656499680 is an apocalyptic number.

676656499680 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 676656499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379116368000).

676656499680 is an abundant number, since it is smaller than the sum of its proper divisors (2081576236320).

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

676656499680 is a wasteful number, since it uses less digits than its factorization.

676656499680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 676656499680 in words is "six hundred seventy-six billion, six hundred fifty-six million, four hundred ninety-nine thousand, six hundred eighty".