9616299264 has 864 divisors, whose sum is σ = 35998470144. Its totient is φ = 2518179840.

The previous prime is 9616299221. The next prime is 9616299269. The reversal of 9616299264 is 4629926169.

It is a happy number.

9616299264 is a `hidden beast` number, since 9 + 6 + 1 + 629 + 9 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9616299264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9616299269) 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, 204602089 + ... + 204602135.

It is an arithmetic number, because the mean of its divisors is an integer number (41664896).

Almost surely, 2^9616299264 is an apocalyptic number.

9616299264 is a gapful number since it is divisible by the number (94) 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 9616299264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17999235072).

9616299264 is an abundant number, since it is smaller than the sum of its proper divisors (26382170880).

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

9616299264 is a wasteful number, since it uses less digits than its factorization.

9616299264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 9616299264 is about 98062.7312693258. The cubic root of 9616299264 is about 2126.5192744269.

The spelling of 9616299264 in words is "nine billion, six hundred sixteen million, two hundred ninety-nine thousand, two hundred sixty-four".