9487142784 has 192 divisors, whose sum is σ = 32207585280. Its totient is φ = 2623104000.

The previous prime is 9487142771. The next prime is 9487142809. The reversal of 9487142784 is 4872417849.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9487142784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231009 + ... + 268959.

It is an arithmetic number, because the mean of its divisors is an integer number (167747840).

Almost surely, 2^9487142784 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 9487142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16103792640).

9487142784 is an abundant number, since it is smaller than the sum of its proper divisors (22720442496).

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

9487142784 is a wasteful number, since it uses less digits than its factorization.

9487142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38009 (or 37994 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 9487142784 is about 97401.9649904456. The cubic root of 9487142784 is about 2116.9559064043.

The spelling of 9487142784 in words is "nine billion, four hundred eighty-seven million, one hundred forty-two thousand, seven hundred eighty-four".