9048140640 has 480 divisors, whose sum is σ = 39816209664. Its totient is φ = 1879925760.

The previous prime is 9048140627. The next prime is 9048140641. The reversal of 9048140640 is 460418409.

It is a happy number.

9048140640 is a `hidden beast` number, since 9 + 0 + 4 + 8 + 1 + 4 + 0 + 640 = 666.

9048140640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 9048140595 and 9048140604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9048140641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 993387 + ... + 1002453.

Almost surely, 2^9048140640 is an apocalyptic number.

9048140640 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 9048140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19908104832).

9048140640 is an abundant number, since it is smaller than the sum of its proper divisors (30768069024).

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

9048140640 is a wasteful number, since it uses less digits than its factorization.

9048140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9048140640 is about 95121.7148710009. The cubic root of 9048140640 is about 2083.7859916820.

The spelling of 9048140640 in words is "nine billion, forty-eight million, one hundred forty thousand, six hundred forty".