684805617552 has 240 divisors, whose sum is σ = 2143119831552. Its totient is φ = 187669278720.

The previous prime is 684805617493. The next prime is 684805617563. The reversal of 684805617552 is 255716508486.

It is a junction number, because it is equal to n+sod(n) for n = 684805617492 and 684805617501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8197498 + ... + 8280614.

Almost surely, 2^684805617552 is an apocalyptic number.

684805617552 is a gapful number since it is divisible by the number (62) 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 684805617552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071559915776).

684805617552 is an abundant number, since it is smaller than the sum of its proper divisors (1458314214000).

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

684805617552 is a wasteful number, since it uses less digits than its factorization.

684805617552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83286 (or 83273 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 684805617552 in words is "six hundred eighty-four billion, eight hundred five million, six hundred seventeen thousand, five hundred fifty-two".