1678669672680 has 768 divisors, whose sum is σ = 7569896947200. Its totient is φ = 321980313600.

The previous prime is 1678669672583. The next prime is 1678669672699. The reversal of 1678669672680 is 862769668761.

It is a super-3 number, since 3×1678669672680³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1678669672599 and 1678669672608.

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 191 ways as a sum of consecutive naturals, for example, 11821300 + ... + 11962460.

It is an arithmetic number, because the mean of its divisors is an integer number (9856636650).

Almost surely, 2^{1678669672680} is an apocalyptic number.

1678669672680 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 1678669672680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784948473600).

1678669672680 is an abundant number, since it is smaller than the sum of its proper divisors (5891227274520).

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

1678669672680 is a wasteful number, since it uses less digits than its factorization.

1678669672680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141223 (or 141202 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 1678669672680 in words is "one trillion, six hundred seventy-eight billion, six hundred sixty-nine million, six hundred seventy-two thousand, six hundred eighty".