683599720320 has 320 divisors, whose sum is σ = 2663192798640. Its totient is φ = 165721006080.

The previous prime is 683599720319. The next prime is 683599720327. The reversal of 683599720320 is 23027995386.

It is a happy number.

683599720320 is a `hidden beast` number, since 6 + 8 + 3 + 599 + 7 + 20 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683599720327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29157 + ... + 1169636.

Almost surely, 2^683599720320 is an apocalyptic number.

683599720320 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 683599720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331596399320).

683599720320 is an abundant number, since it is smaller than the sum of its proper divisors (1979593078320).

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

683599720320 is a wasteful number, since it uses less digits than its factorization.

683599720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198835 (or 1198814 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 683599720320 in words is "six hundred eighty-three billion, five hundred ninety-nine million, seven hundred twenty thousand, three hundred twenty".