9769930240 has 320 divisors, whose sum is σ = 28346757120. Its totient is φ = 3158507520.

The previous prime is 9769930231. The next prime is 9769930309. The reversal of 9769930240 is 420399679.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23887156 + ... + 23887564.

It is an arithmetic number, because the mean of its divisors is an integer number (88583616).

Almost surely, 2^9769930240 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 9769930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173378560).

9769930240 is an abundant number, since it is smaller than the sum of its proper divisors (18576826880).

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

9769930240 is a wasteful number, since it uses less digits than its factorization.

9769930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The square root of 9769930240 is about 98842.9574628360. The cubic root of 9769930240 is about 2137.7839930907.

The spelling of 9769930240 in words is "nine billion, seven hundred sixty-nine million, nine hundred thirty thousand, two hundred forty".