4704727104 has 448 divisors, whose sum is σ = 18161203200. Its totient is φ = 1157068800.

The previous prime is 4704727091. The next prime is 4704727109. The reversal of 4704727104 is 4017274074.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4704727104² = 44268914246224453632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4704727109) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2527134 + ... + 2528994.

It is an arithmetic number, because the mean of its divisors is an integer number (40538400).

Almost surely, 2^4704727104 is an apocalyptic number.

4704727104 is a gapful number since it is divisible by the number (44) 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 4704727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080601600).

4704727104 is an abundant number, since it is smaller than the sum of its proper divisors (13456476096).

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

4704727104 is a wasteful number, since it uses less digits than its factorization.

4704727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 4704727104 is about 68591.0132889142. The cubic root of 4704727104 is about 1675.6300715971.

The spelling of 4704727104 in words is "four billion, seven hundred four million, seven hundred twenty-seven thousand, one hundred four".