684415366752 has 768 divisors, whose sum is σ = 2253223526400. Its totient is φ = 179477544960.

The previous prime is 684415366729. The next prime is 684415366753. The reversal of 684415366752 is 257663514486.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 684415366692 and 684415366701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684415366753) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1484631802 + ... + 1484632262.

It is an arithmetic number, because the mean of its divisors is an integer number (2933884800).

Almost surely, 2^684415366752 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 684415366752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126611763200).

684415366752 is an abundant number, since it is smaller than the sum of its proper divisors (1568808159648).

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

684415366752 is a wasteful number, since it uses less digits than its factorization.

684415366752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 684415366752 in words is "six hundred eighty-four billion, four hundred fifteen million, three hundred sixty-six thousand, seven hundred fifty-two".