686063893921920 has 768 divisors, whose sum is σ = 2623510221696000. Its totient is φ = 170943582781440.

The previous prime is 686063893921817. The next prime is 686063893921927. The reversal of 686063893921920 is 29129398360686.

686063893921920 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 6 + 389 + 3 + 9 + 219 + 20 = 666.

It is a super-3 number, since 3×686063893921920³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (686063893921927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137358966 + ... + 142265994.

It is an arithmetic number, because the mean of its divisors is an integer number (3416028934500).

Almost surely, 2^{686063893921920} is an apocalyptic number.

686063893921920 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 686063893921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311755110848000).

686063893921920 is an abundant number, since it is smaller than the sum of its proper divisors (1937446327774080).

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

686063893921920 is a wasteful number, since it uses less digits than its factorization.

686063893921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907123 (or 4907099 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 686063893921920 in words is "six hundred eighty-six trillion, sixty-three billion, eight hundred ninety-three million, nine hundred twenty-one thousand, nine hundred twenty".