686093353920 has 672 divisors, whose sum is σ = 2663081174208. Its totient is φ = 167119552512.

The previous prime is 686093353873. The next prime is 686093353927. The reversal of 686093353920 is 29353390686.

686093353920 is a `hidden beast` number, since 6 + 8 + 609 + 3 + 3 + 5 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686093353927) 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, 98051862 + ... + 98058858.

It is an arithmetic number, because the mean of its divisors is an integer number (3962918414).

Almost surely, 2^686093353920 is an apocalyptic number.

686093353920 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 686093353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331540587104).

686093353920 is an abundant number, since it is smaller than the sum of its proper divisors (1976987820288).

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

686093353920 is a wasteful number, since it uses less digits than its factorization.

686093353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7139 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 686093353920 in words is "six hundred eighty-six billion, ninety-three million, three hundred fifty-three thousand, nine hundred twenty".