1686799751328 has 240 divisors, whose sum is σ = 5291004222504. Its totient is φ = 525327482880.

The previous prime is 1686799751321. The next prime is 1686799751341. The reversal of 1686799751328 is 8231579976861.

1686799751328 is a `hidden beast` number, since 1 + 6 + 86 + 7 + 9 + 9 + 7 + 513 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1677470509584 + 9329241744 = 1295172^2 + 96588^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1686799751321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5897058 + ... + 6176478.

Almost surely, 2^{1686799751328} is an apocalyptic number.

1686799751328 is a gapful number since it is divisible by the number (18) 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 1686799751328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645502111252).

1686799751328 is an abundant number, since it is smaller than the sum of its proper divisors (3604204471176).

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

1686799751328 is a wasteful number, since it uses less digits than its factorization.

1686799751328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279597 (or 279580 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 1686799751328 in words is "one trillion, six hundred eighty-six billion, seven hundred ninety-nine million, seven hundred fifty-one thousand, three hundred twenty-eight".