4738288464 has 240 divisors, whose sum is σ = 16402422400. Its totient is φ = 1243413504.

The previous prime is 4738288427. The next prime is 4738288481. The reversal of 4738288464 is 4648828374.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4738288464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3000027 + ... + 3001605.

Almost surely, 2^4738288464 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 4738288464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201211200).

4738288464 is an abundant number, since it is smaller than the sum of its proper divisors (11664133936).

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

4738288464 is a wasteful number, since it uses less digits than its factorization.

4738288464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1833 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The square root of 4738288464 is about 68835.2269118073. The cubic root of 4738288464 is about 1679.6050261952.

The spelling of 4738288464 in words is "four billion, seven hundred thirty-eight million, two hundred eighty-eight thousand, four hundred sixty-four".