687483998208 has 728 divisors, whose sum is σ = 2434005582336. Its totient is φ = 189908582400.

The previous prime is 687483998207. The next prime is 687483998221. The reversal of 687483998208 is 802899384786.

687483998208 is a `hidden beast` number, since 68 + 7 + 483 + 9 + 9 + 82 + 0 + 8 = 666.

It is a super-2 number, since 2×687483998208² (a number of 24 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 not an unprimeable number, because it can be changed into a prime (687483998207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 647957998 + ... + 647959058.

Almost surely, 2^687483998208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687483998208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217002791168).

687483998208 is an abundant number, since it is smaller than the sum of its proper divisors (1746521584128).

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

687483998208 is an equidigital number, since it uses as much as digits as its factorization.

687483998208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 687483998208 in words is "six hundred eighty-seven billion, four hundred eighty-three million, nine hundred ninety-eight thousand, two hundred eight".