4745441064 has 576 divisors, whose sum is σ = 17116142400. Its totient is φ = 1079930880.

The previous prime is 4745441053. The next prime is 4745441101. The reversal of 4745441064 is 4601445474.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153078729 + ... + 153078759.

It is an arithmetic number, because the mean of its divisors is an integer number (29715525).

Almost surely, 2^4745441064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4745441064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558071200).

4745441064 is an abundant number, since it is smaller than the sum of its proper divisors (12370701336).

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

4745441064 is a wasteful number, since it uses less digits than its factorization.

4745441064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 4745441064 is about 68887.1618227954. The cubic root of 4745441064 is about 1680.4497407035.

The spelling of 4745441064 in words is "four billion, seven hundred forty-five million, four hundred forty-one thousand, sixty-four".