683348400000 has 1920 divisors, whose sum is σ = 3054449502720. Its totient is φ = 148262400000.

The previous prime is 683348399971. The next prime is 683348400037. The reversal of 683348400000 is 4843386.

683348400000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5216399935 + ... + 5216400065.

It is an arithmetic number, because the mean of its divisors is an integer number (1590859116).

Almost surely, 2^683348400000 is an apocalyptic number.

683348400000 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 683348400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527224751360).

683348400000 is an abundant number, since it is smaller than the sum of its proper divisors (2371101102720).

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

683348400000 is an equidigital number, since it uses as much as digits as its factorization.

683348400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 683348400000 in words is "six hundred eighty-three billion, three hundred forty-eight million, four hundred thousand".