1683009319680 has 432 divisors, whose sum is σ = 6282416046816. Its totient is φ = 413522657280.

The previous prime is 1683009319661. The next prime is 1683009319709. The reversal of 1683009319680 is 869139003861.

1683009319680 is a `hidden beast` number, since 1 + 68 + 300 + 93 + 196 + 8 + 0 = 666.

It is a super-3 number, since 3×1683009319680³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84304900 + ... + 84324860.

It is an arithmetic number, because the mean of its divisors is an integer number (14542629738).

Almost surely, 2^{1683009319680} is an apocalyptic number.

1683009319680 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 1683009319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141208023408).

1683009319680 is an abundant number, since it is smaller than the sum of its proper divisors (4599406727136).

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

1683009319680 is a wasteful number, since it uses less digits than its factorization.

1683009319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20564 (or 20547 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1683009319680 in words is "one trillion, six hundred eighty-three billion, nine million, three hundred nineteen thousand, six hundred eighty".