1683676380672 has 1440 divisors, whose sum is σ = 6085690490880. Its totient is φ = 444513484800.

The previous prime is 1683676380667. The next prime is 1683676380719. The reversal of 1683676380672 is 2760836763861.

1683676380672 is a `hidden beast` number, since 168 + 36 + 7 + 6 + 380 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13257294273 + ... + 13257294399.

It is an arithmetic number, because the mean of its divisors is an integer number (4226173952).

Almost surely, 2^{1683676380672} is an apocalyptic number.

1683676380672 is a gapful number since it is divisible by the number (12) 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 1683676380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042845245440).

1683676380672 is an abundant number, since it is smaller than the sum of its proper divisors (4402014110208).

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

1683676380672 is a wasteful number, since it uses less digits than its factorization.

1683676380672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 1683676380672 in words is "one trillion, six hundred eighty-three billion, six hundred seventy-six million, three hundred eighty thousand, six hundred seventy-two".