1820982613680 has 240 divisors, whose sum is σ = 6354230669280. Its totient is φ = 466784059392.

The previous prime is 1820982613673. The next prime is 1820982613721. The reversal of 1820982613680 is 863162890281.

1820982613680 is a `hidden beast` number, since 18 + 2 + 0 + 9 + 8 + 2 + 613 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 4547664 + ... + 4931856.

It is an arithmetic number, because the mean of its divisors is an integer number (26475961122).

Almost surely, 2^{1820982613680} is an apocalyptic number.

1820982613680 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 1820982613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177115334640).

1820982613680 is an abundant number, since it is smaller than the sum of its proper divisors (4533248055600).

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

1820982613680 is a wasteful number, since it uses less digits than its factorization.

1820982613680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384468 (or 384459 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1820982613680 in words is "one trillion, eight hundred twenty billion, nine hundred eighty-two million, six hundred thirteen thousand, six hundred eighty".