9024507648 has 288 divisors, whose sum is σ = 29188320000. Its totient is φ = 2733502464.

The previous prime is 9024507643. The next prime is 9024507697. The reversal of 9024507648 is 8467054209.

It is a happy number.

9024507648 is a `hidden beast` number, since 90 + 2 + 450 + 76 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9024507641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6019603 + ... + 6021101.

Almost surely, 2^9024507648 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 9024507648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594160000).

9024507648 is an abundant number, since it is smaller than the sum of its proper divisors (20163812352).

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

9024507648 is a wasteful number, since it uses less digits than its factorization.

9024507648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9024507648 is about 94997.4086383413. The cubic root of 9024507648 is about 2081.9701845260.

The spelling of 9024507648 in words is "nine billion, twenty-four million, five hundred seven thousand, six hundred forty-eight".