4510750464 has 288 divisors, whose sum is σ = 14916948480. Its totient is φ = 1332633600.

The previous prime is 4510750463. The next prime is 4510750477. The reversal of 4510750464 is 4640570154.

4510750464 is a `hidden beast` number, since 45 + 107 + 50 + 464 = 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 not an unprimeable number, because it can be changed into a prime (4510750463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3116589 + ... + 3118035.

It is an arithmetic number, because the mean of its divisors is an integer number (51794960).

Almost surely, 2^4510750464 is an apocalyptic number.

4510750464 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 4510750464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458474240).

4510750464 is an abundant number, since it is smaller than the sum of its proper divisors (10406198016).

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

4510750464 is a wasteful number, since it uses less digits than its factorization.

4510750464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4510750464 is about 67162.1207526981. The cubic root of 4510750464 is about 1652.2772918521.

The spelling of 4510750464 in words is "four billion, five hundred ten million, seven hundred fifty thousand, four hundred sixty-four".