687627416471104 has 112 divisors (see below), whose sum is σ = 1436404443863040. Its totient is φ = 326149135902720.

The previous prime is 687627416471077. The next prime is 687627416471111. The reversal of 687627416471104 is 401174614726786.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113018302 + ... + 118947010.

Almost surely, 2^{687627416471104} is an apocalyptic number.

687627416471104 is a gapful number since it is divisible by the number (64) 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 687627416471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718202221931520).

687627416471104 is an abundant number, since it is smaller than the sum of its proper divisors (748777027391936).

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

687627416471104 is a wasteful number, since it uses less digits than its factorization.

687627416471104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929908 (or 5929898 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 64.

The spelling of 687627416471104 in words is "six hundred eighty-seven trillion, six hundred twenty-seven billion, four hundred sixteen million, four hundred seventy-one thousand, one hundred four".