9660787920 has 320 divisors, whose sum is σ = 39258439680. Its totient is φ = 2136844800.

The previous prime is 9660787919. The next prime is 9660787921. The reversal of 9660787920 is 297870669.

9660787920 is a `hidden beast` number, since 9 + 6 + 607 + 8 + 7 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (9660787919) and next prime (9660787921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9660787921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458415 + ... + 479025.

It is an arithmetic number, because the mean of its divisors is an integer number (122682624).

Almost surely, 2^9660787920 is an apocalyptic number.

9660787920 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 9660787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629219840).

9660787920 is an abundant number, since it is smaller than the sum of its proper divisors (29597651760).

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

9660787920 is a wasteful number, since it uses less digits than its factorization.

9660787920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20671 (or 20659 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 9660787920 is about 98289.3072516029. The cubic root of 9660787920 is about 2129.7935923772.

The spelling of 9660787920 in words is "nine billion, six hundred sixty million, seven hundred eighty-seven thousand, nine hundred twenty".