4768105272 has 128 divisors (see below), whose sum is σ = 13811712000. Its totient is φ = 1343599488.

The previous prime is 4768105259. The next prime is 4768105273. The reversal of 4768105272 is 2725018674.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768105273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4245303 + ... + 4246425.

It is an arithmetic number, because the mean of its divisors is an integer number (107904000).

Almost surely, 2^4768105272 is an apocalyptic number.

4768105272 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 4768105272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905856000).

4768105272 is an abundant number, since it is smaller than the sum of its proper divisors (9043606728).

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

4768105272 is a wasteful number, since it uses less digits than its factorization.

4768105272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 4768105272 is about 69051.4682827237. The cubic root of 4768105272 is about 1683.1207667368.

The spelling of 4768105272 in words is "four billion, seven hundred sixty-eight million, one hundred five thousand, two hundred seventy-two".