683668676160 has 896 divisors, whose sum is σ = 2642926164480. Its totient is φ = 165681561600.

The previous prime is 683668676149. The next prime is 683668676161. The reversal of 683668676160 is 61676866386.

683668676160 is a `hidden beast` number, since 6 + 8 + 3 + 6 + 6 + 8 + 6 + 7 + 616 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (683668676161) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 644362030 + ... + 644363090.

It is an arithmetic number, because the mean of its divisors is an integer number (2949694380).

Almost surely, 2^683668676160 is an apocalyptic number.

683668676160 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 683668676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321463082240).

683668676160 is an abundant number, since it is smaller than the sum of its proper divisors (1959257488320).

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

683668676160 is a wasteful number, since it uses less digits than its factorization.

683668676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 683668676160 in words is "six hundred eighty-three billion, six hundred sixty-eight million, six hundred seventy-six thousand, one hundred sixty".