4729029006 has 48 divisors (see below), whose sum is σ = 10361759184. Its totient is φ = 1430341248.

The previous prime is 4729028977. The next prime is 4729029049. The reversal of 4729029006 is 6009209274.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262810 + ... + 280226.

It is an arithmetic number, because the mean of its divisors is an integer number (215869983).

Almost surely, 2^4729029006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4729029006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180879592).

4729029006 is an abundant number, since it is smaller than the sum of its proper divisors (5632730178).

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

4729029006 is a wasteful number, since it uses less digits than its factorization.

4729029006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17553 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 4729029006 is about 68767.9358858473. The cubic root of 4729029006 is about 1678.5102304733.

The spelling of 4729029006 in words is "four billion, seven hundred twenty-nine million, twenty-nine thousand, six".