1675168644864 has 576 divisors, whose sum is σ = 5352300011520. Its totient is φ = 458418339840.

The previous prime is 1675168644827. The next prime is 1675168644871. The reversal of 1675168644864 is 4684468615761.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1675168644795 and 1675168644804.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1704138517 + ... + 1704139499.

It is an arithmetic number, because the mean of its divisors is an integer number (9292187520).

Almost surely, 2^{1675168644864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1675168644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676150005760).

1675168644864 is an abundant number, since it is smaller than the sum of its proper divisors (3677131366656).

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

1675168644864 is a wasteful number, since it uses less digits than its factorization.

1675168644864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 66.

The spelling of 1675168644864 in words is "one trillion, six hundred seventy-five billion, one hundred sixty-eight million, six hundred forty-four thousand, eight hundred sixty-four".