684276768 has 192 divisors, whose sum is σ = 2328480000. Its totient is φ = 195422976.

The previous prime is 684276731. The next prime is 684276847. The reversal of 684276768 is 867672486.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295198 + ... + 297506.

It is an arithmetic number, because the mean of its divisors is an integer number (12127500).

Almost surely, 2^684276768 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 684276768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164240000).

684276768 is an abundant number, since it is smaller than the sum of its proper divisors (1644203232).

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

684276768 is a wasteful number, since it uses less digits than its factorization.

684276768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2321 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 684276768 is about 26158.6843705871. The cubic root of 684276768 is about 881.2056339819.

The spelling of 684276768 in words is "six hundred eighty-four million, two hundred seventy-six thousand, seven hundred sixty-eight".