684826306560 has 960 divisors, whose sum is σ = 2736464290560. Its totient is φ = 162384445440.

The previous prime is 684826306553. The next prime is 684826306573. The reversal of 684826306560 is 65603628486.

It is a happy number.

684826306560 is a `hidden beast` number, since 6 + 8 + 48 + 2 + 6 + 30 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×684826306560² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 684826306497 and 684826306506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 428819682 + ... + 428821278.

It is an arithmetic number, because the mean of its divisors is an integer number (2850483636).

Almost surely, 2^684826306560 is an apocalyptic number.

684826306560 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 684826306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368232145280).

684826306560 is an abundant number, since it is smaller than the sum of its proper divisors (2051637984000).

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

684826306560 is a wasteful number, since it uses less digits than its factorization.

684826306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 684826306560 in words is "six hundred eighty-four billion, eight hundred twenty-six million, three hundred six thousand, five hundred sixty".