8335506816 has 576 divisors, whose sum is σ = 30961410480. Its totient is φ = 2131992576.

The previous prime is 8335506799. The next prime is 8335506821. The reversal of 8335506816 is 6186055338.

8335506816 is a `hidden beast` number, since 8 + 33 + 550 + 68 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27151335 + ... + 27151641.

Almost surely, 2^8335506816 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 8335506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480705240).

8335506816 is an abundant number, since it is smaller than the sum of its proper divisors (22625903664).

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

8335506816 is a wasteful number, since it uses less digits than its factorization.

8335506816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 8335506816 is about 91298.9967962409. The cubic root of 8335506816 is about 2027.5769106775.

The spelling of 8335506816 in words is "eight billion, three hundred thirty-five million, five hundred six thousand, eight hundred sixteen".