1678103930880 has 960 divisors, whose sum is σ = 6819279667200. Its totient is φ = 391283343360.

The previous prime is 1678103930857. The next prime is 1678103930897. The reversal of 1678103930880 is 880393018761.

1678103930880 is a `hidden beast` number, since 167 + 8 + 10 + 393 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 204867585 + ... + 204875775.

It is an arithmetic number, because the mean of its divisors is an integer number (7103416320).

Almost surely, 2^{1678103930880} is an apocalyptic number.

1678103930880 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 1678103930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409639833600).

1678103930880 is an abundant number, since it is smaller than the sum of its proper divisors (5141175736320).

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

1678103930880 is a wasteful number, since it uses less digits than its factorization.

1678103930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1678103930880 in words is "one trillion, six hundred seventy-eight billion, one hundred three million, nine hundred thirty thousand, eight hundred eighty".