9820454784 has 256 divisors, whose sum is σ = 31250841600. Its totient is φ = 2673285120.

The previous prime is 9820454783. The next prime is 9820454803. The reversal of 9820454784 is 4874540289.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9820454783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5582097 + ... + 5583855.

It is an arithmetic number, because the mean of its divisors is an integer number (122073600).

Almost surely, 2^9820454784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9820454784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625420800).

9820454784 is an abundant number, since it is smaller than the sum of its proper divisors (21430386816).

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

9820454784 is a wasteful number, since it uses less digits than its factorization.

9820454784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 9820454784 is about 99098.2077739048. The cubic root of 9820454784 is about 2141.4627946806.

The spelling of 9820454784 in words is "nine billion, eight hundred twenty million, four hundred fifty-four thousand, seven hundred eighty-four".