8384729472 has 384 divisors, whose sum is σ = 29256048000. Its totient is φ = 2356687872.

The previous prime is 8384729467. The next prime is 8384729473. The reversal of 8384729472 is 2749274838.

It is a happy number.

8384729472 is a `hidden beast` number, since 83 + 8 + 472 + 94 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (8384729473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11345679 + ... + 11346417.

It is an arithmetic number, because the mean of its divisors is an integer number (76187625).

Almost surely, 2^8384729472 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 8384729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628024000).

8384729472 is an abundant number, since it is smaller than the sum of its proper divisors (20871318528).

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

8384729472 is a wasteful number, since it uses less digits than its factorization.

8384729472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 818 counting only the distinct ones).

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

The square root of 8384729472 is about 91568.1684429693. The cubic root of 8384729472 is about 2031.5601482493.

The spelling of 8384729472 in words is "eight billion, three hundred eighty-four million, seven hundred twenty-nine thousand, four hundred seventy-two".