1683668696328 has 320 divisors, whose sum is σ = 5039778744000. Its totient is φ = 523613196288.

The previous prime is 1683668696321. The next prime is 1683668696371. The reversal of 1683668696328 is 8236968663861.

1683668696328 is a `hidden beast` number, since 1 + 6 + 83 + 66 + 86 + 96 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1683668696321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 344376508 + ... + 344381396.

It is an arithmetic number, because the mean of its divisors is an integer number (15749308575).

Almost surely, 2^{1683668696328} is an apocalyptic number.

1683668696328 is a gapful number since it is divisible by the number (18) 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 1683668696328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519889372000).

1683668696328 is an abundant number, since it is smaller than the sum of its proper divisors (3356110047672).

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

1683668696328 is a wasteful number, since it uses less digits than its factorization.

1683668696328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5333 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 1683668696328 in words is "one trillion, six hundred eighty-three billion, six hundred sixty-eight million, six hundred ninety-six thousand, three hundred twenty-eight".