9045540864 has 240 divisors, whose sum is σ = 27481053600. Its totient is φ = 2972712960.

The previous prime is 9045540841. The next prime is 9045540877. The reversal of 9045540864 is 4680455409.

9045540864 is a `hidden beast` number, since 9 + 0 + 45 + 540 + 8 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127401949 + ... + 127402019.

It is an arithmetic number, because the mean of its divisors is an integer number (114504390).

Almost surely, 2^9045540864 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 9045540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740526800).

9045540864 is an abundant number, since it is smaller than the sum of its proper divisors (18435512736).

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

9045540864 is an frugal number, since it uses more digits than its factorization.

9045540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 9045540864 is about 95108.0483660558. The cubic root of 9045540864 is about 2083.5863965032.

The spelling of 9045540864 in words is "nine billion, forty-five million, five hundred forty thousand, eight hundred sixty-four".