9812720736 has 576 divisors, whose sum is σ = 36491599872. Its totient is φ = 2430590976.

The previous prime is 9812720689. The next prime is 9812720737. The reversal of 9812720736 is 6370272189.

It is a junction number, because it is equal to n+sod(n) for n = 9812720691 and 9812720700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9812720737) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 44003121 + ... + 44003343.

It is an arithmetic number, because the mean of its divisors is an integer number (63353472).

Almost surely, 2^9812720736 is an apocalyptic number.

9812720736 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 9812720736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18245799936).

9812720736 is an abundant number, since it is smaller than the sum of its proper divisors (26678879136).

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

9812720736 is a wasteful number, since it uses less digits than its factorization.

9812720736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 9812720736 is about 99059.1779493450. The cubic root of 9812720736 is about 2140.9004810834.

The spelling of 9812720736 in words is "nine billion, eight hundred twelve million, seven hundred twenty thousand, seven hundred thirty-six".