4127329968 has 80 divisors (see below), whose sum is σ = 10873804032. Its totient is φ = 1348704000.

The previous prime is 4127329963. The next prime is 4127329981. The reversal of 4127329968 is 8699237214.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4127329968.

It is not an unprimeable number, because it can be changed into a prime (4127329963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613503 + ... + 620193.

Almost surely, 2^4127329968 is an apocalyptic number.

4127329968 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 4127329968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436902016).

4127329968 is an abundant number, since it is smaller than the sum of its proper divisors (6746474064).

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

4127329968 is a wasteful number, since it uses less digits than its factorization.

4127329968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6948 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 4127329968 is about 64244.2991089482. The cubic root of 4127329968 is about 1604.0690658337.

The spelling of 4127329968 in words is "four billion, one hundred twenty-seven million, three hundred twenty-nine thousand, nine hundred sixty-eight".