9004748940 has 288 divisors, whose sum is σ = 31106799360. Its totient is φ = 2168467200.

The previous prime is 9004748897. The next prime is 9004748957. The reversal of 9004748940 is 498474009.

9004748940 is a `hidden beast` number, since 90 + 0 + 47 + 489 + 40 = 666.

It is a super-2 number, since 2×9004748940² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9568870 + ... + 9569810.

It is an arithmetic number, because the mean of its divisors is an integer number (108009720).

Almost surely, 2^9004748940 is an apocalyptic number.

9004748940 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 9004748940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553399680).

9004748940 is an abundant number, since it is smaller than the sum of its proper divisors (22102050420).

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

9004748940 is a wasteful number, since it uses less digits than its factorization.

9004748940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9004748940 is about 94893.3556156594. The cubic root of 9004748940 is about 2080.4496177311.

The spelling of 9004748940 in words is "nine billion, four million, seven hundred forty-eight thousand, nine hundred forty".