686837606400 has 864 divisors, whose sum is σ = 2701978624800. Its totient is φ = 165357158400.

The previous prime is 686837606393. The next prime is 686837606401. The reversal of 686837606400 is 4606738686.

It is not an unprimeable number, because it can be changed into a prime (686837606401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 907314822 + ... + 907315578.

It is an arithmetic number, because the mean of its divisors is an integer number (3127290075).

Almost surely, 2^686837606400 is an apocalyptic number.

686837606400 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 686837606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350989312400).

686837606400 is an abundant number, since it is smaller than the sum of its proper divisors (2015141018400).

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

686837606400 is a wasteful number, since it uses less digits than its factorization.

686837606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 686837606400 in words is "six hundred eighty-six billion, eight hundred thirty-seven million, six hundred six thousand, four hundred".