9729784260 has 192 divisors, whose sum is σ = 35162749440. Its totient is φ = 2187440640.

The previous prime is 9729784249. The next prime is 9729784261. The reversal of 9729784260 is 624879279.

9729784260 is a `hidden beast` number, since 97 + 297 + 8 + 4 + 260 = 666.

It is a super-2 number, since 2×9729784260² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9729784197 and 9729784206.

It is not an unprimeable number, because it can be changed into a prime (9729784261) 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, 209482 + ... + 251678.

It is an arithmetic number, because the mean of its divisors is an integer number (183139320).

Almost surely, 2^9729784260 is an apocalyptic number.

9729784260 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 9729784260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581374720).

9729784260 is an abundant number, since it is smaller than the sum of its proper divisors (25432965180).

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

9729784260 is a wasteful number, since it uses less digits than its factorization.

9729784260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42283 (or 42275 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9729784260 is about 98639.6687950644. The cubic root of 9729784260 is about 2134.8518242207.

The spelling of 9729784260 in words is "nine billion, seven hundred twenty-nine million, seven hundred eighty-four thousand, two hundred sixty".