1819863445680 has 960 divisors, whose sum is σ = 7563059683200. Its totient is φ = 400573071360.

The previous prime is 1819863445633. The next prime is 1819863445681. The reversal of 1819863445680 is 865443689181.

1819863445680 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 8 + 63 + 4 + 4 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1819863445681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2065678840 + ... + 2065679720.

It is an arithmetic number, because the mean of its divisors is an integer number (7878187170).

Almost surely, 2^{1819863445680} is an apocalyptic number.

1819863445680 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 1819863445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781529841600).

1819863445680 is an abundant number, since it is smaller than the sum of its proper divisors (5743196237520).

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

1819863445680 is a wasteful number, since it uses less digits than its factorization.

1819863445680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 1819863445680 in words is "one trillion, eight hundred nineteen billion, eight hundred sixty-three million, four hundred forty-five thousand, six hundred eighty".