4147488768 has 96 divisors (see below), whose sum is σ = 11089915200. Its totient is φ = 1378418688.

The previous prime is 4147488713. The next prime is 4147488769. The reversal of 4147488768 is 8678847414.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4147488769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2659573 + ... + 2661131.

It is an arithmetic number, because the mean of its divisors is an integer number (115519950).

Almost surely, 2^4147488768 is an apocalyptic number.

4147488768 is a gapful number since it is divisible by the number (48) 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 4147488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544957600).

4147488768 is an abundant number, since it is smaller than the sum of its proper divisors (6942426432).

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

4147488768 is a wasteful number, since it uses less digits than its factorization.

4147488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1997 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 57.

The square root of 4147488768 is about 64400.9997437928. Note that the first 3 decimals coincide. The cubic root of 4147488768 is about 1606.6763692264.

The spelling of 4147488768 in words is "four billion, one hundred forty-seven million, four hundred eighty-eight thousand, seven hundred sixty-eight".