1679338830960 has 1200 divisors, whose sum is σ = 7012691712576. Its totient is φ = 371175727104.

The previous prime is 1679338830937. The next prime is 1679338830971. The reversal of 1679338830960 is 690388339761.

1679338830960 is a `hidden beast` number, since 167 + 9 + 3 + 388 + 3 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1228484197 + ... + 1228485563.

Almost surely, 2^{1679338830960} is an apocalyptic number.

1679338830960 is a gapful number since it is divisible by the number (10) 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 1679338830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506345856288).

1679338830960 is an abundant number, since it is smaller than the sum of its proper divisors (5333352881616).

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

1679338830960 is a wasteful number, since it uses less digits than its factorization.

1679338830960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1679338830960 in words is "one trillion, six hundred seventy-nine billion, three hundred thirty-eight million, eight hundred thirty thousand, nine hundred sixty".