9618289920 has 648 divisors, whose sum is σ = 37002891744. Its totient is φ = 2391441408.

The previous prime is 9618289883. The next prime is 9618289921. The reversal of 9618289920 is 299828169.

It is a tau number, because it is divible by the number of its divisors (648).

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 (9618289921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89890507 + ... + 89890613.

It is an arithmetic number, because the mean of its divisors is an integer number (57103228).

Almost surely, 2^9618289920 is an apocalyptic number.

9618289920 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 9618289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18501445872).

9618289920 is an abundant number, since it is smaller than the sum of its proper divisors (27384601824).

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

9618289920 is a wasteful number, since it uses less digits than its factorization.

9618289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9618289920 is about 98072.8806551536. The cubic root of 9618289920 is about 2126.6660001810. Note that the first 3 decimals are identical.

The spelling of 9618289920 in words is "nine billion, six hundred eighteen million, two hundred eighty-nine thousand, nine hundred twenty".