1673506868904 has 96 divisors (see below), whose sum is σ = 4884092183880. Its totient is φ = 514605491712.

The previous prime is 1673506868897. The next prime is 1673506868921. The reversal of 1673506868904 is 4098686053761.

1673506868904 is a `hidden beast` number, since 1 + 67 + 3 + 506 + 8 + 68 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1021453848900 + 652053020004 = 1010670^2 + 807498^2 .

It is a super-2 number, since 2×1673506868904² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 955542 + ... + 2063994.

Almost surely, 2^{1673506868904} 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 1673506868904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442046091940).

1673506868904 is an abundant number, since it is smaller than the sum of its proper divisors (3210585314976).

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

1673506868904 is a wasteful number, since it uses less digits than its factorization.

1673506868904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110091 (or 1110084 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1673506868904 in words is "one trillion, six hundred seventy-three billion, five hundred six million, eight hundred sixty-eight thousand, nine hundred four".