8011021824 has 420 divisors, whose sum is σ = 26191287936. Its totient is φ = 2445520896.

The previous prime is 8011021789. The next prime is 8011021853. The reversal of 8011021824 is 4281201108.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 63078849 + ... + 63078975.

Almost surely, 2^8011021824 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 8011021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095643968).

8011021824 is an abundant number, since it is smaller than the sum of its proper divisors (18180266112).

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

8011021824 is an equidigital number, since it uses as much as digits as its factorization.

8011021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8011021824 is about 89504.3117620598. The cubic root of 8011021824 is about 2000.9180638482.

The spelling of 8011021824 in words is "eight billion, eleven million, twenty-one thousand, eight hundred twenty-four".