9726008448 has 256 divisors, whose sum is σ = 30417085440. Its totient is φ = 2724986880.

The previous prime is 9726008399. The next prime is 9726008483. The reversal of 9726008448 is 8448006279.

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

It is a junction number, because it is equal to n+sod(n) for n = 9726008397 and 9726008406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2628936 + ... + 2632632.

It is an arithmetic number, because the mean of its divisors is an integer number (118816740).

Almost surely, 2^9726008448 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 9726008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208542720).

9726008448 is an abundant number, since it is smaller than the sum of its proper divisors (20691076992).

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

9726008448 is a wasteful number, since it uses less digits than its factorization.

9726008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 9726008448 is about 98620.5275183620. The cubic root of 9726008448 is about 2134.5756330309.

The spelling of 9726008448 in words is "nine billion, seven hundred twenty-six million, eight thousand, four hundred forty-eight".