8487394272 has 576 divisors, whose sum is σ = 30888345600. Its totient is φ = 2255662080.

The previous prime is 8487394249. The next prime is 8487394277. The reversal of 8487394272 is 2724937848.

It is a happy number.

8487394272 is a `hidden beast` number, since 8 + 487 + 3 + 94 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8487394277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38059953 + ... + 38060175.

It is an arithmetic number, because the mean of its divisors is an integer number (53625600).

Almost surely, 2^8487394272 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 8487394272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444172800).

8487394272 is an abundant number, since it is smaller than the sum of its proper divisors (22400951328).

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

8487394272 is a wasteful number, since it uses less digits than its factorization.

8487394272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 8487394272 is about 92127.0550489920. The cubic root of 8487394272 is about 2039.8181844882.

The spelling of 8487394272 in words is "eight billion, four hundred eighty-seven million, three hundred ninety-four thousand, two hundred seventy-two".