9074838240 has 480 divisors, whose sum is σ = 35095316256. Its totient is φ = 2194698240.

The previous prime is 9074838211. The next prime is 9074838251. The reversal of 9074838240 is 428384709.

9074838240 is a `hidden beast` number, since 90 + 7 + 483 + 82 + 4 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10276839 + ... + 10277721.

Almost surely, 2^9074838240 is an apocalyptic number.

9074838240 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 9074838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547658128).

9074838240 is an abundant number, since it is smaller than the sum of its proper divisors (26020478016).

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

9074838240 is a wasteful number, since it uses less digits than its factorization.

9074838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 9074838240 is about 95261.9453926908. The cubic root of 9074838240 is about 2085.8334642066.

The spelling of 9074838240 in words is "nine billion, seventy-four million, eight hundred thirty-eight thousand, two hundred forty".