1688671840740 has 96 divisors (see below), whose sum is σ = 4773156885504. Its totient is φ = 446039825280.

The previous prime is 1688671840693. The next prime is 1688671840741. The reversal of 1688671840740 is 470481768861.

It is a super-2 number, since 2×1688671840740² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (1688671840741) 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, 58966225 + ... + 58994855.

It is an arithmetic number, because the mean of its divisors is an integer number (49720384224).

Almost surely, 2^{1688671840740} is an apocalyptic number.

1688671840740 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 1688671840740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386578442752).

1688671840740 is an abundant number, since it is smaller than the sum of its proper divisors (3084485044764).

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

1688671840740 is a wasteful number, since it uses less digits than its factorization.

1688671840740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37937 (or 37935 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 60.

The spelling of 1688671840740 in words is "one trillion, six hundred eighty-eight billion, six hundred seventy-one million, eight hundred forty thousand, seven hundred forty".