1680051744 has 288 divisors, whose sum is σ = 6000583680. Its totient is φ = 434750976.

The previous prime is 1680051731. The next prime is 1680051749. The reversal of 1680051744 is 4471500861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1680051699 and 1680051708.

It is not an unprimeable number, because it can be changed into a prime (1680051749) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 880039 + ... + 881945.

It is an arithmetic number, because the mean of its divisors is an integer number (20835360).

Almost surely, 2^1680051744 is an apocalyptic number.

1680051744 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 1680051744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000291840).

1680051744 is an abundant number, since it is smaller than the sum of its proper divisors (4320531936).

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

1680051744 is a wasteful number, since it uses less digits than its factorization.

1680051744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1680051744 is about 40988.4342711453. The cubic root of 1680051744 is about 1188.7965952804.

The spelling of 1680051744 in words is "one billion, six hundred eighty million, fifty-one thousand, seven hundred forty-four".