4760105472 has 240 divisors, whose sum is σ = 14362920000. Its totient is φ = 1515773952.

The previous prime is 4760105447. The next prime is 4760105479. The reversal of 4760105472 is 2745010674.

4760105472 is a `hidden beast` number, since 4 + 7 + 601 + 0 + 5 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4760105479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23920029 + ... + 23920227.

It is an arithmetic number, because the mean of its divisors is an integer number (59845500).

Almost surely, 2^4760105472 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 4760105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181460000).

4760105472 is an abundant number, since it is smaller than the sum of its proper divisors (9602814528).

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

4760105472 is a wasteful number, since it uses less digits than its factorization.

4760105472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4760105472 is about 68993.5176085406. The cubic root of 4760105472 is about 1682.1789414228.

The spelling of 4760105472 in words is "four billion, seven hundred sixty million, one hundred five thousand, four hundred seventy-two".