1680433363300 has 72 divisors (see below), whose sum is σ = 3692359048896. Its totient is φ = 663735788160.

The previous prime is 1680433363261. The next prime is 1680433363327. The reversal of 1680433363300 is 33633340861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16524409 + ... + 16625791.

It is an arithmetic number, because the mean of its divisors is an integer number (51282764568).

Almost surely, 2^{1680433363300} is an apocalyptic number.

1680433363300 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 1680433363300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846179524448).

1680433363300 is an abundant number, since it is smaller than the sum of its proper divisors (2011925685596).

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

1680433363300 is a wasteful number, since it uses less digits than its factorization.

1680433363300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103477 (or 103470 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 40.

The spelling of 1680433363300 in words is "one trillion, six hundred eighty billion, four hundred thirty-three million, three hundred sixty-three thousand, three hundred".