1682075601067 has 16 divisors (see below), whose sum is σ = 1784423845120. Its totient is φ = 1581133932000.

The previous prime is 1682075601053. The next prime is 1682075601077. The reversal of 1682075601067 is 7601065702861.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1682075601067 - 2⁷ = 1682075600939 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1682075601067.

It is not an unprimeable number, because it can be changed into a prime (1682075601077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2103592 + ... + 2790922.

It is an arithmetic number, because the mean of its divisors is an integer number (111526490320).

Almost surely, 2^{1682075601067} is an apocalyptic number.

1682075601067 is a deficient number, since it is larger than the sum of its proper divisors (102348244053).

1682075601067 is a wasteful number, since it uses less digits than its factorization.

1682075601067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688354.

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 1682075601067 in words is "one trillion, six hundred eighty-two billion, seventy-five million, six hundred one thousand, sixty-seven".