4738179264 has 336 divisors, whose sum is σ = 16539667200. Its totient is φ = 1183279104.

The previous prime is 4738179247. The next prime is 4738179269. The reversal of 4738179264 is 4629718374.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (4738179269) 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 47 ways as a sum of consecutive naturals, for example, 2322757 + ... + 2324795.

It is an arithmetic number, because the mean of its divisors is an integer number (49225200).

Almost surely, 2^4738179264 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 4738179264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269833600).

4738179264 is an abundant number, since it is smaller than the sum of its proper divisors (11801487936).

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

4738179264 is a wasteful number, since it uses less digits than its factorization.

4738179264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2083 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 4738179264 is about 68834.4337087188. The cubic root of 4738179264 is about 1679.5921232044.

The spelling of 4738179264 in words is "four billion, seven hundred thirty-eight million, one hundred seventy-nine thousand, two hundred sixty-four".