1679841882880 has 576 divisors, whose sum is σ = 4774177013760. Its totient is φ = 554519347200.

The previous prime is 1679841882877. The next prime is 1679841882941. The reversal of 1679841882880 is 882881489761.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a zygodrome in base 2.

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 63 ways as a sum of consecutive naturals, for example, 8794983585 + ... + 8794983775.

It is an arithmetic number, because the mean of its divisors is an integer number (8288501760).

Almost surely, 2^{1679841882880} is an apocalyptic number.

1679841882880 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 1679841882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387088506880).

1679841882880 is an abundant number, since it is smaller than the sum of its proper divisors (3094335130880).

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

1679841882880 is a wasteful number, since it uses less digits than its factorization.

1679841882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 70.

The spelling of 1679841882880 in words is "one trillion, six hundred seventy-nine billion, eight hundred forty-one million, eight hundred eighty-two thousand, eight hundred eighty".