687543345786 has 128 divisors (see below), whose sum is σ = 1604916633600. Its totient is φ = 194304096000.

The previous prime is 687543345763. The next prime is 687543345829.

687543345786 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 32088985 + ... + 32110403.

It is an arithmetic number, because the mean of its divisors is an integer number (12538411200).

Almost surely, 2^687543345786 is an apocalyptic number.

687543345786 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 687543345786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802458316800).

687543345786 is an abundant number, since it is smaller than the sum of its proper divisors (917373287814).

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

687543345786 is a wasteful number, since it uses less digits than its factorization.

687543345786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22036.

The product of its digits is 406425600, while the sum is 66.

The spelling of 687543345786 in words is "six hundred eighty-seven billion, five hundred forty-three million, three hundred forty-five thousand, seven hundred eighty-six".