686339291796480 has 3520 divisors, whose sum is σ = 3135119547174912. Its totient is φ = 139885255065600.

The previous prime is 686339291796449. The next prime is 686339291796481. The reversal of 686339291796480 is 84697192933686.

686339291796480 is a `hidden beast` number, since 6 + 8 + 6 + 3 + 39 + 2 + 9 + 17 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 686339291796480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686339291796481) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 121454481655 + ... + 121454487305.

Almost surely, 2^{686339291796480} is an apocalyptic number.

686339291796480 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 686339291796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567559773587456).

686339291796480 is an abundant number, since it is smaller than the sum of its proper divisors (2448780255378432).

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

686339291796480 is a wasteful number, since it uses less digits than its factorization.

686339291796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 5079158784, while the sum is 81.

The spelling of 686339291796480 in words is "six hundred eighty-six trillion, three hundred thirty-nine billion, two hundred ninety-one million, seven hundred ninety-six thousand, four hundred eighty".