8006729472 has 360 divisors, whose sum is σ = 27518257536. Its totient is φ = 2277559296.

The previous prime is 8006729413. The next prime is 8006729527. The reversal of 8006729472 is 2749276008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35271823 + ... + 35272049.

Almost surely, 2^8006729472 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 8006729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759128768).

8006729472 is an abundant number, since it is smaller than the sum of its proper divisors (19511528064).

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

8006729472 is an frugal number, since it uses more digits than its factorization.

8006729472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8006729472 is about 89480.3300843264. The cubic root of 8006729472 is about 2000.5606321644.

The spelling of 8006729472 in words is "eight billion, six million, seven hundred twenty-nine thousand, four hundred seventy-two".