9002024640 has 448 divisors, whose sum is σ = 36499921920. Its totient is φ = 2045952000.

The previous prime is 9002024623. The next prime is 9002024663. The reversal of 9002024640 is 464202009.

9002024640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 94879²-1.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15180184 + ... + 15180776.

It is an arithmetic number, because the mean of its divisors is an integer number (81473040).

Almost surely, 2^9002024640 is an apocalyptic number.

9002024640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9002024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249960960).

9002024640 is an abundant number, since it is smaller than the sum of its proper divisors (27497897280).

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

9002024640 is a wasteful number, since it uses less digits than its factorization.

9002024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 9002024640 is about 94878.9999947301. Note that the first 5 decimals coincide. The cubic root of 9002024640 is about 2080.2397899093.

Adding to 9002024640 its reverse (464202009), we get a palindrome (9466226649).

The spelling of 9002024640 in words is "nine billion, two million, twenty-four thousand, six hundred forty".