9472736448 has 504 divisors, whose sum is σ = 33300326592. Its totient is φ = 2563964928.

The previous prime is 9472736423. The next prime is 9472736477. The reversal of 9472736448 is 8446372749.

9472736448 is a `hidden beast` number, since 9 + 472 + 73 + 64 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9472736394 and 9472736403.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49081440 + ... + 49081632.

Almost surely, 2^9472736448 is an apocalyptic number.

9472736448 is a gapful number since it is divisible by the number (98) 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 9472736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16650163296).

9472736448 is an abundant number, since it is smaller than the sum of its proper divisors (23827590144).

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

9472736448 is a wasteful number, since it uses less digits than its factorization.

9472736448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 9472736448 is about 97327.9838895269. The cubic root of 9472736448 is about 2115.8838228912.

The spelling of 9472736448 in words is "nine billion, four hundred seventy-two million, seven hundred thirty-six thousand, four hundred forty-eight".