686811820032 has 1560 divisors, whose sum is σ = 2555877046800. Its totient is φ = 181930033152.

The previous prime is 686811820027. The next prime is 686811820033. The reversal of 686811820032 is 230028118686.

It is a super-2 number, since 2×686811820032² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 686811820032.

It is not an unprimeable number, because it can be changed into a prime (686811820033) 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 119 ways as a sum of consecutive naturals, for example, 23683166194 + ... + 23683166222.

Almost surely, 2^686811820032 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 686811820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277938523400).

686811820032 is an abundant number, since it is smaller than the sum of its proper divisors (1869065226768).

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

686811820032 is a wasteful number, since it uses less digits than its factorization.

686811820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 686811820032 in words is "six hundred eighty-six billion, eight hundred eleven million, eight hundred twenty thousand, thirty-two".