4463815680 has 264 divisors, whose sum is σ = 15690697152. Its totient is φ = 1173159936.

The previous prime is 4463815669. The next prime is 4463815717. The reversal of 4463815680 is 865183644.

4463815680 is a `hidden beast` number, since 4 + 4 + 6 + 3 + 81 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3363177 + ... + 3364503.

Almost surely, 2^4463815680 is an apocalyptic number.

4463815680 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 4463815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845348576).

4463815680 is an abundant number, since it is smaller than the sum of its proper divisors (11226881472).

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

4463815680 is a wasteful number, since it uses less digits than its factorization.

4463815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4463815680 is about 66811.7929710018. The cubic root of 4463815680 is about 1646.5265996425.

The spelling of 4463815680 in words is "four billion, four hundred sixty-three million, eight hundred fifteen thousand, six hundred eighty".