4063963968 has 224 divisors, whose sum is σ = 12995452800. Its totient is φ = 1240178688.

The previous prime is 4063963963. The next prime is 4063963973. The reversal of 4063963968 is 8693693604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4063963963) and next prime (4063963973).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4063963963) 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, 1085043 + ... + 1088781.

Almost surely, 2^4063963968 is an apocalyptic number.

4063963968 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 4063963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497726400).

4063963968 is an abundant number, since it is smaller than the sum of its proper divisors (8931488832).

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

4063963968 is a wasteful number, since it uses less digits than its factorization.

4063963968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 4063963968 is about 63749.2271953159. The cubic root of 4063963968 is about 1595.8177190206.

The spelling of 4063963968 in words is "four billion, sixty-three million, nine hundred sixty-three thousand, nine hundred sixty-eight".