9660720960 has 560 divisors, whose sum is σ = 38733691392. Its totient is φ = 2264371200.

The previous prime is 9660720931. The next prime is 9660720977. The reversal of 9660720960 is 690270669.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8838174 + ... + 8839266.

Almost surely, 2^9660720960 is an apocalyptic number.

9660720960 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 9660720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19366845696).

9660720960 is an abundant number, since it is smaller than the sum of its proper divisors (29072970432).

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

9660720960 is a wasteful number, since it uses less digits than its factorization.

9660720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9660720960 is about 98288.9666239299. The cubic root of 9660720960 is about 2129.7886717534.

The spelling of 9660720960 in words is "nine billion, six hundred sixty million, seven hundred twenty thousand, nine hundred sixty".