686064330000 has 1200 divisors, whose sum is σ = 2901034071936. Its totient is φ = 153653760000.

The previous prime is 686064329971. The next prime is 686064330019. The reversal of 686064330000 is 33460686.

686064330000 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 643 + 3 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 901529620 + ... + 901530380.

Almost surely, 2^686064330000 is an apocalyptic number.

686064330000 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 686064330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450517035968).

686064330000 is an abundant number, since it is smaller than the sum of its proper divisors (2214969741936).

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

686064330000 is an equidigital number, since it uses as much as digits as its factorization.

686064330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 686064330000 its reverse (33460686), we get a palindrome (686097790686).

It can be divided in two parts, 686064 and 330000, that added together give a square (1016064 = 1008²).

The spelling of 686064330000 in words is "six hundred eighty-six billion, sixty-four million, three hundred thirty thousand".