9270240000 has 720 divisors, whose sum is σ = 36780226560. Its totient is φ = 2027520000.

The previous prime is 9270239987. The next prime is 9270240053. The reversal of 9270240000 is 420729.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104159956 + ... + 104160044.

It is an arithmetic number, because the mean of its divisors is an integer number (51083648).

Almost surely, 2^9270240000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9270240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390113280).

9270240000 is an abundant number, since it is smaller than the sum of its proper divisors (27509986560).

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

9270240000 is an equidigital number, since it uses as much as digits as its factorization.

9270240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 9270240000 is about 96282.0855611261. The cubic root of 9270240000 is about 2100.6981805507.

Adding to 9270240000 its reverse (420729), we get a palindrome (9270660729).

The spelling of 9270240000 in words is "nine billion, two hundred seventy million, two hundred forty thousand".