4974649344 has 588 divisors, whose sum is σ = 18372191094. Its totient is φ = 1337720832.

The previous prime is 4974649343. The next prime is 4974649349. The reversal of 4974649344 is 4439464794.

4974649344 is a `hidden beast` number, since 4 + 97 + 464 + 93 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3657830400 + 1316818944 = 60480^2 + 36288^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974649343) 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 41 ways as a sum of consecutive naturals, for example, 292626424 + ... + 292626440.

Almost surely, 2^4974649344 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 4974649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186095547).

4974649344 is an abundant number, since it is smaller than the sum of its proper divisors (13397541750).

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

4974649344 is an frugal number, since it uses more digits than its factorization.

4974649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 29 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 4974649344 is about 70531.1941200488. The cubic root of 4974649344 is about 1707.0811146248.

The spelling of 4974649344 in words is "four billion, nine hundred seventy-four million, six hundred forty-nine thousand, three hundred forty-four".