684338735808 has 840 divisors, whose sum is σ = 2530494954240. Its totient is φ = 179047065600.

The previous prime is 684338735783. The next prime is 684338735809. The reversal of 684338735808 is 808537833486.

It is a happy number.

684338735808 is a `hidden beast` number, since 6 + 8 + 43 + 3 + 8 + 7 + 3 + 580 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (684338735809) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 926033103 + ... + 926033841.

Almost surely, 2^684338735808 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 684338735808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265247477120).

684338735808 is an abundant number, since it is smaller than the sum of its proper divisors (1846156218432).

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

684338735808 is a wasteful number, since it uses less digits than its factorization.

684338735808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 684338735808 in words is "six hundred eighty-four billion, three hundred thirty-eight million, seven hundred thirty-five thousand, eight hundred eight".