9225696480 has 864 divisors, whose sum is σ = 40123133568. Its totient is φ = 1761177600.

The previous prime is 9225696461. The next prime is 9225696499. The reversal of 9225696480 is 846965229.

It is an interprime number because it is at equal distance from previous prime (9225696461) and next prime (9225696499).

It is a super-2 number, since 2×9225696480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43723575 + ... + 43723785.

It is an arithmetic number, because the mean of its divisors is an integer number (46438812).

Almost surely, 2^9225696480 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 9225696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20061566784).

9225696480 is an abundant number, since it is smaller than the sum of its proper divisors (30897437088).

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

9225696480 is a wasteful number, since it uses less digits than its factorization.

9225696480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 9225696480 is about 96050.4892231164. The cubic root of 9225696480 is about 2097.3281575964.

The spelling of 9225696480 in words is "nine billion, two hundred twenty-five million, six hundred ninety-six thousand, four hundred eighty".