686029790160 has 960 divisors, whose sum is σ = 2808951215616. Its totient is φ = 147806208000.

The previous prime is 686029790153. The next prime is 686029790167. The reversal of 686029790160 is 61097920686.

It is an interprime number because it is at equal distance from previous prime (686029790153) and next prime (686029790167).

It is a junction number, because it is equal to n+sod(n) for n = 686029790097 and 686029790106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686029790167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 384760629 + ... + 384762411.

Almost surely, 2^686029790160 is an apocalyptic number.

686029790160 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 686029790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404475607808).

686029790160 is an abundant number, since it is smaller than the sum of its proper divisors (2122921425456).

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

686029790160 is a wasteful number, since it uses less digits than its factorization.

686029790160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 686029790160 in words is "six hundred eighty-six billion, twenty-nine million, seven hundred ninety thousand, one hundred sixty".