686233900800 has 432 divisors, whose sum is σ = 2875833434880. Its totient is φ = 156853186560.

The previous prime is 686233900633. The next prime is 686233900801. The reversal of 686233900800 is 8009332686.

686233900800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686233900801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925939 + ... + 1493261.

It is an arithmetic number, because the mean of its divisors is an integer number (6657021840).

Almost surely, 2^686233900800 is an apocalyptic number.

686233900800 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 686233900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437916717440).

686233900800 is an abundant number, since it is smaller than the sum of its proper divisors (2189599534080).

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

686233900800 is a wasteful number, since it uses less digits than its factorization.

686233900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567365 (or 567340 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 686233900800 in words is "six hundred eighty-six billion, two hundred thirty-three million, nine hundred thousand, eight hundred".