9219048960 has 640 divisors, whose sum is σ = 34364943360. Its totient is φ = 2087321600.

The previous prime is 9219048929. The next prime is 9219048967. The reversal of 9219048960 is 698409129.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9219048967) 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, 129845725 + ... + 129845795.

It is an arithmetic number, because the mean of its divisors is an integer number (53695224).

Almost surely, 2^9219048960 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 9219048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182471680).

9219048960 is an abundant number, since it is smaller than the sum of its proper divisors (25145894400).

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

9219048960 is a wasteful number, since it uses less digits than its factorization.

9219048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 9219048960 is about 96015.8786868089. The cubic root of 9219048960 is about 2096.8242975044.

The spelling of 9219048960 in words is "nine billion, two hundred nineteen million, forty-eight thousand, nine hundred sixty".