684516393288 has 768 divisors, whose sum is σ = 2387024640000. Its totient is φ = 176047312896.

The previous prime is 684516393277. The next prime is 684516393293. The reversal of 684516393288 is 882393615486.

It is a happy number.

684516393288 is a `hidden beast` number, since 6 + 8 + 4 + 516 + 3 + 9 + 32 + 88 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3474702406 + ... + 3474702602.

It is an arithmetic number, because the mean of its divisors is an integer number (3108105000).

Almost surely, 2^684516393288 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 684516393288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193512320000).

684516393288 is an abundant number, since it is smaller than the sum of its proper divisors (1702508246712).

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

684516393288 is a wasteful number, since it uses less digits than its factorization.

684516393288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 684516393288 in words is "six hundred eighty-four billion, five hundred sixteen million, three hundred ninety-three thousand, two hundred eighty-eight".