9820460736 has 280 divisors, whose sum is σ = 30643519104. Its totient is φ = 3105423360.

The previous prime is 9820460729. The next prime is 9820460773. The reversal of 9820460736 is 6370640289.

9820460736 is a `hidden beast` number, since 9 + 8 + 2 + 0 + 4 + 607 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9820460691 and 9820460700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8516736 + ... + 8517888.

Almost surely, 2^9820460736 is an apocalyptic number.

9820460736 is a gapful number since it is divisible by the number (96) 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 9820460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321759552).

9820460736 is an abundant number, since it is smaller than the sum of its proper divisors (20823058368).

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

9820460736 is a wasteful number, since it uses less digits than its factorization.

9820460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9820460736 is about 99098.2378047158. The cubic root of 9820460736 is about 2141.4632273145.

The spelling of 9820460736 in words is "nine billion, eight hundred twenty million, four hundred sixty thousand, seven hundred thirty-six".