683726883840 has 2816 divisors, whose sum is σ = 3356865146880. Its totient is φ = 128994508800.

The previous prime is 683726883811. The next prime is 683726883841. The reversal of 683726883840 is 48388627386.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is not an unprimeable number, because it can be changed into a prime (683726883841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11208637410 + ... + 11208637470.

Almost surely, 2^683726883840 is an apocalyptic number.

683726883840 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 683726883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678432573440).

683726883840 is an abundant number, since it is smaller than the sum of its proper divisors (2673138263040).

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

683726883840 is a wasteful number, since it uses less digits than its factorization.

683726883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 683726883840 in words is "six hundred eighty-three billion, seven hundred twenty-six million, eight hundred eighty-three thousand, eight hundred forty".