4748772672 has 126 divisors (see below), whose sum is σ = 15833879178. Its totient is φ = 1356784128.

The previous prime is 4748772641. The next prime is 4748772683. The reversal of 4748772672 is 2762778474.

4748772672 is a `hidden beast` number, since 474 + 87 + 7 + 26 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3597120576 + 1151652096 = 59976^2 + 33936^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 55903 + ... + 112350.

Almost surely, 2^4748772672 is an apocalyptic number.

4748772672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4748772672 is an abundant number, since it is smaller than the sum of its proper divisors (11085106506).

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

4748772672 is a wasteful number, since it uses less digits than its factorization.

4748772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168285 (or 168265 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 54.

The square root of 4748772672 is about 68911.3392120629. The cubic root of 4748772672 is about 1680.8429103472.

The spelling of 4748772672 in words is "four billion, seven hundred forty-eight million, seven hundred seventy-two thousand, six hundred seventy-two".