9920655360 has 832 divisors, whose sum is σ = 44160629760. Its totient is φ = 2052587520.

The previous prime is 9920655347. The next prime is 9920655379. The reversal of 9920655360 is 635560299.

9920655360 is a `hidden beast` number, since 9 + 92 + 0 + 6 + 553 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42577804 + ... + 42578036.

It is an arithmetic number, because the mean of its divisors is an integer number (53077680).

Almost surely, 2^9920655360 is an apocalyptic number.

9920655360 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 9920655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080314880).

9920655360 is an abundant number, since it is smaller than the sum of its proper divisors (34239974400).

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

9920655360 is a wasteful number, since it uses less digits than its factorization.

9920655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 9920655360 is about 99602.4867159450. The cubic root of 9920655360 is about 2148.7214579751.

The spelling of 9920655360 in words is "nine billion, nine hundred twenty million, six hundred fifty-five thousand, three hundred sixty".