4709132064 has 576 divisors, whose sum is σ = 17795232000. Its totient is φ = 1170505728.

The previous prime is 4709132009. The next prime is 4709132069. The reversal of 4709132064 is 4602319074.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4709132069) 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, 24399552 + ... + 24399744.

It is an arithmetic number, because the mean of its divisors is an integer number (30894500).

Almost surely, 2^4709132064 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 4709132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8897616000).

4709132064 is an abundant number, since it is smaller than the sum of its proper divisors (13086099936).

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

4709132064 is a wasteful number, since it uses less digits than its factorization.

4709132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4709132064 is about 68623.1161052892. The cubic root of 4709132064 is about 1676.1528635946.

The spelling of 4709132064 in words is "four billion, seven hundred nine million, one hundred thirty-two thousand, sixty-four".