9045641280 has 448 divisors, whose sum is σ = 32378830848. Its totient is φ = 2124472320.

The previous prime is 9045641263. The next prime is 9045641287. The reversal of 9045641280 is 821465409.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (9045641287) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 39848527 + ... + 39848753.

It is an arithmetic number, because the mean of its divisors is an integer number (72274176).

Almost surely, 2^9045641280 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 9045641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189415424).

9045641280 is an abundant number, since it is smaller than the sum of its proper divisors (23333189568).

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

9045641280 is a wasteful number, since it uses less digits than its factorization.

9045641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 9045641280 is about 95108.5762694406. The cubic root of 9045641280 is about 2083.5941065502.

The spelling of 9045641280 in words is "nine billion, forty-five million, six hundred forty-one thousand, two hundred eighty".