9042624864 has 432 divisors, whose sum is σ = 33035288832. Its totient is φ = 2382441984.

The previous prime is 9042624863. The next prime is 9042624881. The reversal of 9042624864 is 4684262409.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9042624863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9198517 + ... + 9199499.

It is an arithmetic number, because the mean of its divisors is an integer number (76470576).

Almost surely, 2^9042624864 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 9042624864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16517644416).

9042624864 is an abundant number, since it is smaller than the sum of its proper divisors (23992663968).

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

9042624864 is a wasteful number, since it uses less digits than its factorization.

9042624864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 9042624864 is about 95092.7171974805. The cubic root of 9042624864 is about 2083.3624780364.

The spelling of 9042624864 in words is "nine billion, forty-two million, six hundred twenty-four thousand, eight hundred sixty-four".