1679924834640 has 640 divisors, whose sum is σ = 6945380467200. Its totient is φ = 368709304320.

The previous prime is 1679924834611. The next prime is 1679924834689. The reversal of 1679924834640 is 464384299761.

It is a happy number.

1679924834640 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 9 + 248 + 346 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 8977230 + ... + 9162450.

It is an arithmetic number, because the mean of its divisors is an integer number (10852156980).

Almost surely, 2^{1679924834640} is an apocalyptic number.

1679924834640 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 1679924834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472690233600).

1679924834640 is an abundant number, since it is smaller than the sum of its proper divisors (5265455632560).

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

1679924834640 is a wasteful number, since it uses less digits than its factorization.

1679924834640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185292 (or 185280 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 1679924834640 in words is "one trillion, six hundred seventy-nine billion, nine hundred twenty-four million, eight hundred thirty-four thousand, six hundred forty".