9609969600 has 1176 divisors, whose sum is σ = 44614965888. Its totient is φ = 1978214400.

The previous prime is 9609969563. The next prime is 9609969613. The reversal of 9609969600 is 69699069.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 89812747 + ... + 89812853.

Almost surely, 2^9609969600 is an apocalyptic number.

9609969600 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 9609969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22307482944).

9609969600 is an abundant number, since it is smaller than the sum of its proper divisors (35004996288).

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

9609969600 is a wasteful number, since it uses less digits than its factorization.

9609969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 135 counting only the distinct ones).

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

The square root of 9609969600 is about 98030.4524114828. The cubic root of 9609969600 is about 2126.0525977818.

The spelling of 9609969600 in words is "nine billion, six hundred nine million, nine hundred sixty-nine thousand, six hundred".