9209728949760 has 480 divisors, whose sum is σ = 32722293764160. Its totient is φ = 2392473600000.

The previous prime is 9209728949753. The next prime is 9209728949777. The reversal of 9209728949760 is 679498279029.

9209728949760 is a `hidden beast` number, since 9 + 2 + 0 + 9 + 72 + 8 + 9 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669742885 + ... + 669756635.

It is an arithmetic number, because the mean of its divisors is an integer number (68171445342).

Almost surely, 2^{9209728949760} is an apocalyptic number.

9209728949760 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 9209728949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361146882080).

9209728949760 is an abundant number, since it is smaller than the sum of its proper divisors (23512564814400).

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

9209728949760 is a wasteful number, since it uses less digits than its factorization.

9209728949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14530 (or 14511 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 9209728949760 in words is "nine trillion, two hundred nine billion, seven hundred twenty-eight million, nine hundred forty-nine thousand, seven hundred sixty".