8330065920 has 720 divisors, whose sum is σ = 33214020840. Its totient is φ = 1995079680.

The previous prime is 8330065873. The next prime is 8330065951. The reversal of 8330065920 is 295600338.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 100362199 + ... + 100362281.

Almost surely, 2^8330065920 is an apocalyptic number.

8330065920 is a gapful number since it is divisible by the number (80) 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 8330065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607010420).

8330065920 is an abundant number, since it is smaller than the sum of its proper divisors (24883954920).

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

8330065920 is a wasteful number, since it uses less digits than its factorization.

8330065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 8330065920 is about 91269.1948030659. The cubic root of 8330065920 is about 2027.1356563138.

It can be divided in two parts, 83 and 30065920, that added together give a palindrome (30066003).

The spelling of 8330065920 in words is "eight billion, three hundred thirty million, sixty-five thousand, nine hundred twenty".