4567749120 has 480 divisors, whose sum is σ = 17580214080. Its totient is φ = 1086750720.

The previous prime is 4567749083. The next prime is 4567749127. The reversal of 4567749120 is 219477654.

4567749120 is a `hidden beast` number, since 4 + 567 + 74 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4567749127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16980346 + ... + 16980614.

It is an arithmetic number, because the mean of its divisors is an integer number (36625446).

Almost surely, 2^4567749120 is an apocalyptic number.

4567749120 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 4567749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790107040).

4567749120 is an abundant number, since it is smaller than the sum of its proper divisors (13012464960).

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

4567749120 is a wasteful number, since it uses less digits than its factorization.

4567749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4567749120 is about 67585.1249906368. The cubic root of 4567749120 is about 1659.2076733616.

The spelling of 4567749120 in words is "four billion, five hundred sixty-seven million, seven hundred forty-nine thousand, one hundred twenty".