683745079680 has 1024 divisors, whose sum is σ = 2693676384000. Its totient is φ = 164897980416.

The previous prime is 683745079673. The next prime is 683745079697. The reversal of 683745079680 is 86970547386.

683745079680 is a `hidden beast` number, since 6 + 8 + 37 + 4 + 507 + 96 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 964379166 + ... + 964379874.

Almost surely, 2^683745079680 is an apocalyptic number.

683745079680 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 683745079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346838192000).

683745079680 is an abundant number, since it is smaller than the sum of its proper divisors (2009931304320).

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

683745079680 is an equidigital number, since it uses as much as digits as its factorization.

683745079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 683745079680 in words is "six hundred eighty-three billion, seven hundred forty-five million, seventy-nine thousand, six hundred eighty".