9626916960 has 288 divisors, whose sum is σ = 35566685280. Its totient is φ = 2431669248.

The previous prime is 9626916947. The next prime is 9626916983. The reversal of 9626916960 is 696196269.

It is a happy number.

9626916960 is a `hidden beast` number, since 9 + 626 + 9 + 1 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 9626916897 and 9626916906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556434 + ... + 1562606.

It is an arithmetic number, because the mean of its divisors is an integer number (123495435).

Almost surely, 2^9626916960 is an apocalyptic number.

9626916960 is a gapful number since it is divisible by the number (90) 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 9626916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783342640).

9626916960 is an abundant number, since it is smaller than the sum of its proper divisors (25939768320).

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

9626916960 is a wasteful number, since it uses less digits than its factorization.

9626916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 9626916960 is about 98116.8535981459. The cubic root of 9626916960 is about 2127.3016415889.

The spelling of 9626916960 in words is "nine billion, six hundred twenty-six million, nine hundred sixteen thousand, nine hundred sixty".