686646831024 has 960 divisors, whose sum is σ = 2615306895360. Its totient is φ = 167541696000.

The previous prime is 686646830971. The next prime is 686646831049. The reversal of 686646831024 is 420138646686.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2533752009 + ... + 2533752279.

It is an arithmetic number, because the mean of its divisors is an integer number (2724278016).

Almost surely, 2^686646831024 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 686646831024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307653447680).

686646831024 is an abundant number, since it is smaller than the sum of its proper divisors (1928660064336).

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

686646831024 is a wasteful number, since it uses less digits than its factorization.

686646831024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 686646831024 in words is "six hundred eighty-six billion, six hundred forty-six million, eight hundred thirty-one thousand, twenty-four".