1688688434160 has 1120 divisors, whose sum is σ = 7626830184960. Its totient is φ = 337522194432.

The previous prime is 1688688434159. The next prime is 1688688434161. The reversal of 1688688434160 is 614348868861.

1688688434160 is a `hidden beast` number, since 1 + 6 + 88 + 68 + 8 + 434 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1688688434159) and next prime (1688688434161).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688688434161) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 100826907 + ... + 100843653.

It is an arithmetic number, because the mean of its divisors is an integer number (6809669808).

Almost surely, 2^{1688688434160} is an apocalyptic number.

1688688434160 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 1688688434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813415092480).

1688688434160 is an abundant number, since it is smaller than the sum of its proper divisors (5938141750800).

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

1688688434160 is a wasteful number, since it uses less digits than its factorization.

1688688434160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16817 (or 16796 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 1688688434160 in words is "one trillion, six hundred eighty-eight billion, six hundred eighty-eight million, four hundred thirty-four thousand, one hundred sixty".