8420493382020 has 384 divisors, whose sum is σ = 27248072785920. Its totient is φ = 2184440171904.

The previous prime is 8420493381983. The next prime is 8420493382033. The reversal of 8420493382020 is 202833940248.

8420493382020 is a `hidden beast` number, since 84 + 2 + 0 + 493 + 3 + 82 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 343302997 + ... + 343327523.

It is an arithmetic number, because the mean of its divisors is an integer number (70958522880).

Almost surely, 2^{8420493382020} 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 8420493382020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13624036392960).

8420493382020 is an abundant number, since it is smaller than the sum of its proper divisors (18827579403900).

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

8420493382020 is a wasteful number, since it uses less digits than its factorization.

8420493382020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24771 (or 24751 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 8420493382020 in words is "eight trillion, four hundred twenty billion, four hundred ninety-three million, three hundred eighty-two thousand, twenty".