1689400400688 has 480 divisors, whose sum is σ = 6386153260032. Its totient is φ = 402619852800.

The previous prime is 1689400400687. The next prime is 1689400400717. The reversal of 1689400400688 is 8860040049861.

It is not an unprimeable number, because it can be changed into a prime (1689400400687) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 24036958 + ... + 24107138.

Almost surely, 2^{1689400400688} is an apocalyptic number.

1689400400688 is a gapful number since it is divisible by the number (18) 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 1689400400688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193076630016).

1689400400688 is an abundant number, since it is smaller than the sum of its proper divisors (4696752859344).

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

1689400400688 is a wasteful number, since it uses less digits than its factorization.

1689400400688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70393 (or 70384 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1689400400688 in words is "one trillion, six hundred eighty-nine billion, four hundred million, four hundred thousand, six hundred eighty-eight".