9624339648 has 896 divisors, whose sum is σ = 38390169600. Its totient is φ = 2317870080.

The previous prime is 9624339563. The next prime is 9624339653. The reversal of 9624339648 is 8469334269.

9624339648 is a `hidden beast` number, since 9 + 6 + 243 + 396 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 = 9624339594 and 9624339603.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204773161 + ... + 204773207.

Almost surely, 2^9624339648 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 9624339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195084800).

9624339648 is an abundant number, since it is smaller than the sum of its proper divisors (28765829952).

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

9624339648 is a wasteful number, since it uses less digits than its factorization.

9624339648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 9624339648 is about 98103.7188285949. The cubic root of 9624339648 is about 2127.1117847040. Note that the first 3 decimals are identical.

The spelling of 9624339648 in words is "nine billion, six hundred twenty-four million, three hundred thirty-nine thousand, six hundred forty-eight".