1682944704 has 336 divisors, whose sum is σ = 5872276800. Its totient is φ = 450551808.

The previous prime is 1682944673. The next prime is 1682944721. The reversal of 1682944704 is 4074492861.

1682944704 is a `hidden beast` number, since 16 + 82 + 94 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 1682944704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4326142 + ... + 4326530.

Almost surely, 2^1682944704 is an apocalyptic number.

1682944704 is a gapful number since it is divisible by the number (14) 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 1682944704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936138400).

1682944704 is an abundant number, since it is smaller than the sum of its proper divisors (4189332096).

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

1682944704 is a wasteful number, since it uses less digits than its factorization.

1682944704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1682944704 is about 41023.7090473302. The cubic root of 1682944704 is about 1189.4785522282.

The spelling of 1682944704 in words is "one billion, six hundred eighty-two million, nine hundred forty-four thousand, seven hundred four".