1684428768 has 72 divisors (see below), whose sum is σ = 5225567256. Its totient is φ = 510432000.

The previous prime is 1684428761. The next prime is 1684428787. The reversal of 1684428768 is 8678244861.

1684428768 is a `hidden beast` number, since 1 + 68 + 442 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684428761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262683 + ... + 269018.

It is an arithmetic number, because the mean of its divisors is an integer number (72577323).

Almost surely, 2^1684428768 is an apocalyptic number.

1684428768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1684428768 is an abundant number, since it is smaller than the sum of its proper divisors (3541138488).

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

1684428768 is a wasteful number, since it uses less digits than its factorization.

1684428768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531728 (or 531717 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 1684428768 is about 41041.7929432914. The cubic root of 1684428768 is about 1189.8280871165.

The spelling of 1684428768 in words is "one billion, six hundred eighty-four million, four hundred twenty-eight thousand, seven hundred sixty-eight".