4700509632 has 504 divisors, whose sum is σ = 17643933216. Its totient is φ = 1183666176.

The previous prime is 4700509601. The next prime is 4700509691. The reversal of 4700509632 is 2369050074.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8438698 + ... + 8439254.

It is an arithmetic number, because the mean of its divisors is an integer number (35007804).

Almost surely, 2^4700509632 is an apocalyptic number.

4700509632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4700509632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821966608).

4700509632 is an abundant number, since it is smaller than the sum of its proper divisors (12943423584).

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

4700509632 is a wasteful number, since it uses less digits than its factorization.

4700509632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4700509632 is about 68560.2627766259. The cubic root of 4700509632 is about 1675.1292252866.

The spelling of 4700509632 in words is "four billion, seven hundred million, five hundred nine thousand, six hundred thirty-two".