1693840680000 has 1120 divisors, whose sum is σ = 7229954673920. Its totient is φ = 380712960000.

The previous prime is 1693840679933. The next prime is 1693840680001. The reversal of 1693840680000 is 860483961.

1693840680000 is a `hidden beast` number, since 169 + 3 + 8 + 406 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (1693840680001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 461158164 + ... + 461161836.

Almost surely, 2^{1693840680000} is an apocalyptic number.

1693840680000 is a gapful number since it is divisible by the number (10) 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 1693840680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614977336960).

1693840680000 is an abundant number, since it is smaller than the sum of its proper divisors (5536113993920).

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

1693840680000 is an equidigital number, since it uses as much as digits as its factorization.

1693840680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1693840680000 in words is "one trillion, six hundred ninety-three billion, eight hundred forty million, six hundred eighty thousand".