1689860755968 has 320 divisors, whose sum is σ = 5617946999808. Its totient is φ = 438518661120.

The previous prime is 1689860755901. The next prime is 1689860755969. The reversal of 1689860755968 is 8695570689861.

It is a junction number, because it is equal to n+sod(n) for n = 1689860755893 and 1689860755902.

It is not an unprimeable number, because it can be changed into a prime (1689860755969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140382846 + ... + 140394882.

Almost surely, 2^{1689860755968} 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 1689860755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808973499904).

1689860755968 is an abundant number, since it is smaller than the sum of its proper divisors (3928086243840).

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

1689860755968 is a wasteful number, since it uses less digits than its factorization.

1689860755968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13263 (or 13247 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 78.

The spelling of 1689860755968 in words is "one trillion, six hundred eighty-nine billion, eight hundred sixty million, seven hundred fifty-five thousand, nine hundred sixty-eight".