8001720384 has 336 divisors, whose sum is σ = 25507224576. Its totient is φ = 2206310400.

The previous prime is 8001720379. The next prime is 8001720413. The reversal of 8001720384 is 4830271008.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×8001720384² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41893729 + ... + 41893919.

Almost surely, 2^8001720384 is an apocalyptic number.

8001720384 is a gapful number since it is divisible by the number (84) 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 8001720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753612288).

8001720384 is an abundant number, since it is smaller than the sum of its proper divisors (17505504192).

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

8001720384 is a wasteful number, since it uses less digits than its factorization.

8001720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8001720384 is about 89452.3358219337. The cubic root of 8001720384 is about 2000.1433550578.

The spelling of 8001720384 in words is "eight billion, one million, seven hundred twenty thousand, three hundred eighty-four".