1680930000360 has 256 divisors, whose sum is σ = 6037820006400. Its totient is φ = 413512833024.

The previous prime is 1680930000359. The next prime is 1680930000383. The reversal of 1680930000360 is 630000390861.

It is a happy number.

It is a super-2 number, since 2×1680930000360² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23312524 + ... + 23384516.

It is an arithmetic number, because the mean of its divisors is an integer number (23585234400).

Almost surely, 2^{1680930000360} is an apocalyptic number.

1680930000360 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 1680930000360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018910003200).

1680930000360 is an abundant number, since it is smaller than the sum of its proper divisors (4356890006040).

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

1680930000360 is a wasteful number, since it uses less digits than its factorization.

1680930000360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73689 (or 73679 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1680930000360 in words is "one trillion, six hundred eighty billion, nine hundred thirty million, three hundred sixty", and thus it is an aban number.