684029214720 has 1024 divisors, whose sum is σ = 2600093260800. Its totient is φ = 172374884352.

The previous prime is 684029214689. The next prime is 684029214721. The reversal of 684029214720 is 27412920486.

684029214720 is a `hidden beast` number, since 6 + 8 + 402 + 9 + 214 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684029214721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8241315799 + ... + 8241315881.

It is an arithmetic number, because the mean of its divisors is an integer number (2539153575).

Almost surely, 2^684029214720 is an apocalyptic number.

684029214720 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 684029214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300046630400).

684029214720 is an abundant number, since it is smaller than the sum of its proper divisors (1916064046080).

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

684029214720 is an frugal number, since it uses more digits than its factorization.

684029214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 684029214720 in words is "six hundred eighty-four billion, twenty-nine million, two hundred fourteen thousand, seven hundred twenty".