1689317576960 has 288 divisors, whose sum is σ = 4512804438240. Its totient is φ = 601594527744.

The previous prime is 1689317576959. The next prime is 1689317577049. The reversal of 1689317576960 is 696757139861.

It can be written as a sum of positive squares in 16 ways, for example, as 1539505229824 + 149812347136 = 1240768^2 + 387056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845926682 + ... + 845928678.

It is an arithmetic number, because the mean of its divisors is an integer number (15669459855).

Almost surely, 2^{1689317576960} is an apocalyptic number.

1689317576960 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 1689317576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256402219120).

1689317576960 is an abundant number, since it is smaller than the sum of its proper divisors (2823486861280).

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

1689317576960 is a wasteful number, since it uses less digits than its factorization.

1689317576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 68.

The spelling of 1689317576960 in words is "one trillion, six hundred eighty-nine billion, three hundred seventeen million, five hundred seventy-six thousand, nine hundred sixty".