686763872288 has 162 divisors, whose sum is σ = 1497145483197. Its totient is φ = 309964212480.

The previous prime is 686763872281. The next prime is 686763872299. The reversal of 686763872288 is 882278367686.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 587203429264 + 99560443024 = 766292^2 + 315532^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=585988.

It is not an unprimeable number, because it can be changed into a prime (686763872281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3595622273 + ... + 3595622463.

Almost surely, 2^686763872288 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 686763872288

686763872288 is an abundant number, since it is smaller than the sum of its proper divisors (810381610909).

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

686763872288 is an equidigital number, since it uses as much as digits as its factorization.

686763872288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 265 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 71.

The spelling of 686763872288 in words is "six hundred eighty-six billion, seven hundred sixty-three million, eight hundred seventy-two thousand, two hundred eighty-eight".