4463696160 has 1008 divisors, whose sum is σ = 20347008192. Its totient is φ = 914457600.

The previous prime is 4463696147. The next prime is 4463696183. The reversal of 4463696160 is 616963644.

4463696160 is a `hidden beast` number, since 4 + 4 + 636 + 9 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 62868925 + ... + 62868995.

It is an arithmetic number, because the mean of its divisors is an integer number (20185524).

Almost surely, 2^4463696160 is an apocalyptic number.

4463696160 is a gapful number since it is divisible by the number (40) 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 4463696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173504096).

4463696160 is an abundant number, since it is smaller than the sum of its proper divisors (15883312032).

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

4463696160 is a wasteful number, since it uses less digits than its factorization.

4463696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4463696160 is about 66810.8985121440. The cubic root of 4463696160 is about 1646.5119040973.

The spelling of 4463696160 in words is "four billion, four hundred sixty-three million, six hundred ninety-six thousand, one hundred sixty".