9024970752 has 560 divisors, whose sum is σ = 32351837760. Its totient is φ = 2452488192.

The previous prime is 9024970739. The next prime is 9024970807. The reversal of 9024970752 is 2570794209.

9024970752 is a `hidden beast` number, since 90 + 2 + 497 + 0 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9024970698 and 9024970707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134701023 + ... + 134701089.

Almost surely, 2^9024970752 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 9024970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175918880).

9024970752 is an abundant number, since it is smaller than the sum of its proper divisors (23326867008).

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

9024970752 is an equidigital number, since it uses as much as digits as its factorization.

9024970752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9024970752 is about 94999.8460630332. The cubic root of 9024970752 is about 2082.0057968927.

The spelling of 9024970752 in words is "nine billion, twenty-four million, nine hundred seventy thousand, seven hundred fifty-two".