9775334016 has 768 divisors, whose sum is σ = 37425024000. Its totient is φ = 2472394752.

The previous prime is 9775333991. The next prime is 9775334017. The reversal of 9775334016 is 6104335779.

9775334016 is a `hidden beast` number, since 9 + 77 + 533 + 40 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9775334017) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 70326075 + ... + 70326213.

It is an arithmetic number, because the mean of its divisors is an integer number (48730500).

Almost surely, 2^9775334016 is an apocalyptic number.

9775334016 is a gapful number since it is divisible by the number (96) 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 9775334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512000).

9775334016 is an abundant number, since it is smaller than the sum of its proper divisors (27649689984).

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

9775334016 is a wasteful number, since it uses less digits than its factorization.

9775334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 9775334016 is about 98870.2888435146. The cubic root of 9775334016 is about 2138.1780585675.

It can be divided in two parts, 97753 and 34016, that added together give a square (131769 = 363²).

The spelling of 9775334016 in words is "nine billion, seven hundred seventy-five million, three hundred thirty-four thousand, sixteen".