9023642784 has 288 divisors, whose sum is σ = 29495793600. Its totient is φ = 2679505920.

The previous prime is 9023642777. The next prime is 9023642791. The reversal of 9023642784 is 4872463209.

It is an interprime number because it is at equal distance from previous prime (9023642777) and next prime (9023642791).

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

It is a super-2 number, since 2×9023642784² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4233399 + ... + 4235529.

It is an arithmetic number, because the mean of its divisors is an integer number (102415950).

Almost surely, 2^9023642784 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 9023642784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747896800).

9023642784 is an abundant number, since it is smaller than the sum of its proper divisors (20472150816).

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

9023642784 is a wasteful number, since it uses less digits than its factorization.

9023642784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 9023642784 is about 94992.8564893171. The cubic root of 9023642784 is about 2081.9036738399.

The spelling of 9023642784 in words is "nine billion, twenty-three million, six hundred forty-two thousand, seven hundred eighty-four".