4766271552 has 336 divisors, whose sum is σ = 16442375040. Its totient is φ = 1349913600.

The previous prime is 4766271547. The next prime is 4766271553. The reversal of 4766271552 is 2551726674.

4766271552 is a `hidden beast` number, since 4 + 7 + 6 + 627 + 15 + 5 + 2 = 666.

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

Its product of digits (705600) is a multiple of the sum of its prime divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 4766271498 and 4766271507.

It is not an unprimeable number, because it can be changed into a prime (4766271553) by changing a digit.

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, 15325477 + ... + 15325787.

It is an arithmetic number, because the mean of its divisors is an integer number (48935640).

Almost surely, 2^4766271552 is an apocalyptic number.

4766271552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4766271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221187520).

4766271552 is an abundant number, since it is smaller than the sum of its proper divisors (11676103488).

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

4766271552 is a wasteful number, since it uses less digits than its factorization.

4766271552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 504 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 4766271552 is about 69038.1890840135. The cubic root of 4766271552 is about 1682.9049739656.

The spelling of 4766271552 in words is "four billion, seven hundred sixty-six million, two hundred seventy-one thousand, five hundred fifty-two".