9819384382080 has 2560 divisors, whose sum is σ = 46100391321600. Its totient is φ = 1933842677760.

The previous prime is 9819384382063. The next prime is 9819384382169. The reversal of 9819384382080 is 802834839189.

9819384382080 is a `hidden beast` number, since 9 + 8 + 19 + 384 + 38 + 208 + 0 = 666.

It is a super-3 number, since 3×9819384382080³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9819384381999 and 9819384382017.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6363825789 + ... + 6363827331.

It is an arithmetic number, because the mean of its divisors is an integer number (18007965360).

Almost surely, 2^{9819384382080} is an apocalyptic number.

9819384382080 is a gapful number since it is divisible by the number (90) 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 9819384382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23050195660800).

9819384382080 is an abundant number, since it is smaller than the sum of its proper divisors (36281006939520).

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

9819384382080 is a wasteful number, since it uses less digits than its factorization.

9819384382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 9819384382080 in words is "nine trillion, eight hundred nineteen billion, three hundred eighty-four million, three hundred eighty-two thousand, eighty".