4739825664 has 342 divisors, whose sum is σ = 16316860014. Its totient is φ = 1321205760.

The previous prime is 4739825659. The next prime is 4739825681. The reversal of 4739825664 is 4665289374.

4739825664 is a `hidden beast` number, since 4 + 73 + 9 + 8 + 2 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2890137600 + 1849688064 = 53760^2 + 43008^2 .

It is a super-2 number, since 2×4739825664² = 44931894650226081792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4739825664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115605484 + ... + 115605524.

It is an arithmetic number, because the mean of its divisors is an integer number (47710117).

Almost surely, 2^4739825664 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 4739825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158430007).

4739825664 is an abundant number, since it is smaller than the sum of its proper divisors (11577034350).

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

4739825664 is an frugal number, since it uses more digits than its factorization.

4739825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 4739825664 is about 68846.3918008780. The cubic root of 4739825664 is about 1679.7866395710.

The spelling of 4739825664 in words is "four billion, seven hundred thirty-nine million, eight hundred twenty-five thousand, six hundred sixty-four".