9669909600 has 540 divisors, whose sum is σ = 38228826636. Its totient is φ = 2377589760.

The previous prime is 9669909581. The next prime is 9669909629. The reversal of 9669909600 is 69099669.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 10950759 + ... + 10951641.

Almost surely, 2^9669909600 is an apocalyptic number.

9669909600 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 9669909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19114413318).

9669909600 is an abundant number, since it is smaller than the sum of its proper divisors (28558917036).

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

9669909600 is a wasteful number, since it uses less digits than its factorization.

9669909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 9669909600 is about 98335.6985026292. The cubic root of 9669909600 is about 2130.4636959129.

The spelling of 9669909600 in words is "nine billion, six hundred sixty-nine million, nine hundred nine thousand, six hundred".