1686129984 has 252 divisors, whose sum is σ = 6134270688. Its totient is φ = 437875200.

The previous prime is 1686129979. The next prime is 1686130003. The reversal of 1686129984 is 4899216861.

1686129984 is a `hidden beast` number, since 16 + 8 + 612 + 9 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1686129984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 307749 + ... + 313179.

It is an arithmetic number, because the mean of its divisors is an integer number (24342344).

Almost surely, 2^1686129984 is an apocalyptic number.

1686129984 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 1686129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067135344).

1686129984 is an abundant number, since it is smaller than the sum of its proper divisors (4448140704).

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

1686129984 is a wasteful number, since it uses less digits than its factorization.

1686129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5454 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1686129984 is about 41062.5131232856. The cubic root of 1686129984 is about 1190.2285143627.

The spelling of 1686129984 in words is "one billion, six hundred eighty-six million, one hundred twenty-nine thousand, nine hundred eighty-four".