4741724160 has 288 divisors, whose sum is σ = 17156149920. Its totient is φ = 1208942592.

The previous prime is 4741724149. The next prime is 4741724173. The reversal of 4741724160 is 614271474.

It is a happy number.

4741724160 is a `hidden beast` number, since 4 + 74 + 172 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 2118562 + ... + 2120798.

It is an arithmetic number, because the mean of its divisors is an integer number (59569965).

Almost surely, 2^4741724160 is an apocalyptic number.

4741724160 is a gapful number since it is divisible by the number (40) 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 4741724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578074960).

4741724160 is an abundant number, since it is smaller than the sum of its proper divisors (12414425760).

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

4741724160 is a wasteful number, since it uses less digits than its factorization.

4741724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4741724160 is about 68860.1783326183. The cubic root of 4741724160 is about 1680.0108842832.

The spelling of 4741724160 in words is "four billion, seven hundred forty-one million, seven hundred twenty-four thousand, one hundred sixty".