4725184464 has 640 divisors, whose sum is σ = 18665472000. Its totient is φ = 1127831040.

The previous prime is 4725184463. The next prime is 4725184481. The reversal of 4725184464 is 4644815274.

4725184464 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 184 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4725184463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21189057 + ... + 21189279.

It is an arithmetic number, because the mean of its divisors is an integer number (29164800).

Almost surely, 2^4725184464 is an apocalyptic number.

4725184464 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 4725184464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332736000).

4725184464 is an abundant number, since it is smaller than the sum of its proper divisors (13940287536).

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

4725184464 is a wasteful number, since it uses less digits than its factorization.

4725184464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 4725184464 is about 68739.9771894056. The cubic root of 4725184464 is about 1678.0552496461.

The spelling of 4725184464 in words is "four billion, seven hundred twenty-five million, one hundred eighty-four thousand, four hundred sixty-four".