1688937868800 has 3240 divisors, whose sum is σ = 8224133304816. Its totient is φ = 335385722880.

The previous prime is 1688937868747. The next prime is 1688937868823. The reversal of 1688937868800 is 88687398861.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×1688937868800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 99349286392 + ... + 99349286408.

Almost surely, 2^{1688937868800} is an apocalyptic number.

1688937868800 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 1688937868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112066652408).

1688937868800 is an abundant number, since it is smaller than the sum of its proper divisors (6535195436016).

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

1688937868800 is an frugal number, since it uses more digits than its factorization.

1688937868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 1688937868800 in words is "one trillion, six hundred eighty-eight billion, nine hundred thirty-seven million, eight hundred sixty-eight thousand, eight hundred".