9762009600 has 480 divisors, whose sum is σ = 38481822720. Its totient is φ = 2132951040.

The previous prime is 9762009583. The next prime is 9762009613. The reversal of 9762009600 is 69002679.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 6181611 + ... + 6183189.

It is an arithmetic number, because the mean of its divisors is an integer number (80170464).

Almost surely, 2^9762009600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9762009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19240911360).

9762009600 is an abundant number, since it is smaller than the sum of its proper divisors (28719813120).

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

9762009600 is a wasteful number, since it uses less digits than its factorization.

9762009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 9762009600 is about 98802.8825490431. The cubic root of 9762009600 is about 2137.2061249141.

The spelling of 9762009600 in words is "nine billion, seven hundred sixty-two million, nine thousand, six hundred".