4772791296 has 528 divisors, whose sum is σ = 17772545280. Its totient is φ = 1254113280.

The previous prime is 4772791267. The next prime is 4772791301. The reversal of 4772791296 is 6921972774.

4772791296 is a `hidden beast` number, since 477 + 2 + 79 + 12 + 96 = 666.

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.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17611641 + ... + 17611911.

Almost surely, 2^4772791296 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 4772791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886272640).

4772791296 is an abundant number, since it is smaller than the sum of its proper divisors (12999753984).

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

4772791296 is a wasteful number, since it uses less digits than its factorization.

4772791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 296 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 4772791296 is about 69085.3913356507. The cubic root of 4772791296 is about 1683.6719683482.

The spelling of 4772791296 in words is "four billion, seven hundred seventy-two million, seven hundred ninety-one thousand, two hundred ninety-six".