9072824064 has 216 divisors, whose sum is σ = 26304808320. Its totient is φ = 2768394240.

The previous prime is 9072824063. The next prime is 9072824147. The reversal of 9072824064 is 4604282709.

It is a super-2 number, since 2×9072824064² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9072824063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14022589 + ... + 14023235.

It is an arithmetic number, because the mean of its divisors is an integer number (121781520).

Almost surely, 2^9072824064 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 9072824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152404160).

9072824064 is an abundant number, since it is smaller than the sum of its proper divisors (17231984256).

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

9072824064 is a wasteful number, since it uses less digits than its factorization.

9072824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 9072824064 is about 95251.3730294740. The cubic root of 9072824064 is about 2085.6791346764.

The spelling of 9072824064 in words is "nine billion, seventy-two million, eight hundred twenty-four thousand, sixty-four".