4463734464 has 168 divisors, whose sum is σ = 15017971488. Its totient is φ = 1240842240.

The previous prime is 4463734463. The next prime is 4463734481. The reversal of 4463734464 is 4644373644.

It is a happy number.

4463734464 is a `hidden beast` number, since 4 + 4 + 637 + 3 + 4 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4463734463) 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 23 ways as a sum of consecutive naturals, for example, 134224 + ... + 164144.

Almost surely, 2^4463734464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4463734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508985744).

4463734464 is an abundant number, since it is smaller than the sum of its proper divisors (10554237024).

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

4463734464 is a wasteful number, since it uses less digits than its factorization.

4463734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29983 (or 29970 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 45.

The square root of 4463734464 is about 66811.1851713469. The cubic root of 4463734464 is about 1646.5166137825.

The spelling of 4463734464 in words is "four billion, four hundred sixty-three million, seven hundred thirty-four thousand, four hundred sixty-four".