9024125760 has 672 divisors, whose sum is σ = 35414346240. Its totient is φ = 2173796352.

The previous prime is 9024125723. The next prime is 9024125777. The reversal of 9024125760 is 675214209.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79859464 + ... + 79859576.

It is an arithmetic number, because the mean of its divisors is an integer number (52699920).

Almost surely, 2^9024125760 is an apocalyptic number.

9024125760 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 9024125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707173120).

9024125760 is an abundant number, since it is smaller than the sum of its proper divisors (26390220480).

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

9024125760 is a wasteful number, since it uses less digits than its factorization.

9024125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9024125760 is about 94995.3986254071. The cubic root of 9024125760 is about 2081.9408166950.

Adding to 9024125760 its reverse (675214209), we get a palindrome (9699339969).

The spelling of 9024125760 in words is "nine billion, twenty-four million, one hundred twenty-five thousand, seven hundred sixty".