684637204608 has 384 divisors, whose sum is σ = 2389284817920. Its totient is φ = 191058932736.

The previous prime is 684637204583. The next prime is 684637204633. The reversal of 684637204608 is 806402736486.

684637204608 is a `hidden beast` number, since 6 + 8 + 4 + 6 + 3 + 7 + 20 + 4 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (684637204583) and next prime (684637204633).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9325741 + ... + 9398867.

It is an arithmetic number, because the mean of its divisors is an integer number (6222095880).

Almost surely, 2^684637204608 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 684637204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194642408960).

684637204608 is an abundant number, since it is smaller than the sum of its proper divisors (1704647613312).

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

684637204608 is an equidigital number, since it uses as much as digits as its factorization.

684637204608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73206 (or 73182 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 684637204608 in words is "six hundred eighty-four billion, six hundred thirty-seven million, two hundred four thousand, six hundred eight".