4171795968 has 80 divisors (see below), whose sum is σ = 11239169040. Its totient is φ = 1374928896.

The previous prime is 4171795967. The next prime is 4171795981. The reversal of 4171795968 is 8695971714.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4171795967) 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, 121446 + ... + 151962.

It is an arithmetic number, because the mean of its divisors is an integer number (140489613).

Almost surely, 2^4171795968 is an apocalyptic number.

4171795968 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 4171795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619584520).

4171795968 is an abundant number, since it is smaller than the sum of its proper divisors (7067373072).

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

4171795968 is an equidigital number, since it uses as much as digits as its factorization.

4171795968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30627 (or 30611 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 57.

The square root of 4171795968 is about 64589.4416139356. The cubic root of 4171795968 is about 1609.8090083741.

The spelling of 4171795968 in words is "four billion, one hundred seventy-one million, seven hundred ninety-five thousand, nine hundred sixty-eight".