686767488000 has 704 divisors, whose sum is σ = 2600844180480. Its totient is φ = 159227904000.

The previous prime is 686767487969. The next prime is 686767488007. The reversal of 686767488000 is 884767686.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686767488007) by changing a digit.

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, 97148466 + ... + 97155534.

Almost surely, 2^686767488000 is an apocalyptic number.

686767488000 is a gapful number since it is divisible by the number (60) 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 686767488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300422090240).

686767488000 is an abundant number, since it is smaller than the sum of its proper divisors (1914076692480).

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

686767488000 is a wasteful number, since it uses less digits than its factorization.

686767488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 686767488000 in words is "six hundred eighty-six billion, seven hundred sixty-seven million, four hundred eighty-eight thousand".